Evaluate the indefinite integral. (Use C for the constant of integration.) sin(10x) 1 cos2(10x) dx

Answers

Answer 1

Answer:

The result of the integral is [tex]-\frac{\cos^3{10x}}{30} + C[/tex]

Step-by-step explanation:

We are given the following integral:

[tex]\int \sin{(10x)}\cos^{2}{(10x)} dx[/tex]

I am going to solve by substitution, using [tex]u = \cos{10x}[/tex], so [tex]du = -10\sin{10x}dx, dx = -\frac{du}{10\sin{10x}}[/tex]. So, we have

[tex]-\frac{1}{10} \int u^2 du[/tex]

Which has the following result:

[tex]-\frac{u^3}{30} + C[/tex]

Going back to x, the result of the integral is

[tex]-\frac{\cos^3{10x}}{30} + C[/tex]


Related Questions

UNDERSTAND
There are eight cups of ice cream in a large container of Berry
Blast ice cream. Each scoop of ice cream is 1/2 of a cup. How
many scoops of ice cream are in an entire container of Berry Blast
ice cream?

Answers

Answer: 16


Explanation: 8 divided by 1/2, you switch the equation to multiplication, so now it’s 8x1/2. You turn the 8 into 8/1, so now your equation looks like 8/1x2/1 which gives you 16/1 which is also 16.

List three factors that must be considered when designing and building a house? Describe how each factor can influence the design and the building of the house.


I will be giving brainiest to correct and best explained answer! :)

Answers

Step-by-step explanation:

I would say the area its getting built. imagine wanting to build a house but you can't dig the sewer (if thats the spelling) pipes bc the area you want doesn't have any water or something like that. definitely money. without it, you can't do anything, you can't buy materials or even hire people to help you because you cannot tell me that you can build a house on your own. Another I would say is Labor cause like I said, if you ain't got nobody to help you, you're probably going to take a few years or more. so if you want to build a house in an area where there is a few architects and designers, you're just going to have to suck it up and get what you get.

the graph of which function will contain the point(2,10)​

Answers

Answer:

point (2 , 10)

Y= 5X

10 = 5(2)

10= 10

Use the sequence {0.3, 0.03, 0.003, 0.003, ... } to answer the question.
What is the explicit rule that describes the sequence?
1 an = 0.3(0.01)(n-1)
2 an = 0.3(0.001)(n-1)
3 an = 0.3(10)(n-1)
4 an = 0.3(0.1)(n-1)

Answers

Answer:

2 an ? Im pretty sure hope it helped

Answer:

an = 0.3(0.1)^(n - 1)

Step-by-step explanation:

so it's number 4 ;)

Need help ASAP
questions in the pics i have sent

Answers

Answer:

Step-by-step explanation:

Picture 1

In right triangle ABC,

Side AB is the opposite side of angle C.

Picture 2

In triangle MKL,

tan(∠M) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{KL}{KM}[/tex]

             = [tex]\frac{15}{8}[/tex]

Option (1) is the answer.

Picture 3

In ΔXYZ,

sin(∠Z) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{XY}{XZ}[/tex]

For the length of XY we will apply Pythagoras theorem in ΔXYZ,

XZ² = XY² + YZ²

XY² = XZ² - YZ²

      = (40)² - (32)²

XY = √576

     = 24

sin(Z) = [tex]\frac{24}{40}[/tex]

sin(Z) = [tex]\frac{3}{5}[/tex]

Picture 4

In right triangle DEF,

Cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

           = [tex]\frac{EF}{DF}[/tex]

           = [tex]\frac{75}{72}[/tex]

           = [tex]\frac{25}{24}[/tex]

Picture 5

In ΔABC,

tan(63°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(63°) = [tex]\frac{BC}{AB}[/tex]

AB = [tex]\frac{BC}{\text{tan}(63)}[/tex]

AB = [tex]\frac{8}{\text{tan}(63)}[/tex]

AB = 4.0762 ≈ 4 m

Option (3) will be the answer.

SUMA
RESTA
657 + 234
895 - 653 =​

Answers

Answer:

891

242

Step-by-step explanation:

(6x-3)(4x-1) standard form​

Answers

Answer:

6x+3

Step-by-step explanation:

24x-6x-12x+3

6x+3

Equation R: y = -2x + 10
Equation S: y = 3x - 20



What is the solution ( , )

Answers

Step-by-step explanation:

3x -20= -2x +10

or,5x=30

or,X=30/5

or,X=6

Y= -2×6 + 10

= -2

therefore solution is (6, -2)

-4x = 7y + 13
Find the slope of the line

Answers

Answer:

-4/7

Step-by-step explanation:

The first step of this problem would be changing the format of the equation so that it fits into slope-intercept form.

-4x = 7y + 13

-4x -7y = 13        (subtract 7y from both sides)

-7y = 4x + 13      (add 4x to both sides)

7y = -4x -13        (divide both sides by -1)

y = -4/7x - 13/7  (divide both sides by 7)

Now that it is in slope-intercept form, finding the slope is simple as long as you know what to look for.

Remember that y is simply a variable, just because it is at the beginning of the equation does not mean -4/7x - 13/7 is the answer. The question is asking specifically for the slope of the line. Slope in this equation is m. If y = mx + b, then m = -4/7.

The slope of the line is -4/7.

please help me i have no clue what to put!!!

Answers

Answer:

c

Step-by-step explanation:

Its C the answer is c

What is 9,167.364 in expanded form?

Answers

Answer:

9,000+100+60+7+.3+.06+.004

Step-by-step explanation:

9000+100+60+7+.300+.060+.004

What is tan K? i need help ..

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

[tex]\sf {tan~K} = \sf{{\dfrac{opposite~side}{adjacent~side}}} =\sf{{\dfrac{24}{51}}} [/tex]

None of the answers are correct

The answer is 8/15.

Step by step explanation:

For finding tangent, the formula is

tangent = Opposide / Adjacent

tan k = 24/45

tan k = 8/15

Hope it helps!

I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist

Answers

Answer:

i belive the answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

mark me brainlist plz :)

State the solutions for the quadratic equation graphed below.

Answers

Need more information

Helps pls...... help help help

Answers

Answer:

IQR = 10

Step-by-step explanation:

1. Find the median (middle data point.)

2. Find the median of the upper quartile (70 - 80.)

3. Find the median of the lower quartile. (60 - 70.)

4. Subtract the lower quartile from upper quartile.

1. median of the data = 70

2. median of Q2 = 75

3. median of the Q3 = 65

4. 75 - 65 = 10

IQR = 10

The line passes through (6,6) and (-2,2)

Answers

Step-by-step explanation:

y-y1=m(x-x1)

m=y2-y1/x2-x1

I need help please.

Answers

Answer I think D, I would never choose b :

Step-by-step explanation:

answer d:))))))))))))))

What is 600 minus 258?

Answers

Answer:

342

Step-by-step explanation:

Answer:

342

Step-by-step explanation:

600 - 258 = 342

Note:

Please mark as Brainliest! <3

1. What concept does this picture illustrate?



A. radiation

B. conduction

c . contraction

D. convec​

Answers

Answer:

c

Step-by-step explanation:

Answer:

Convection.

Step-by-step explanation:

Convection  is where warm air rises and cool air falls. This picture is an example of Convection.

Sean runs 2/3 of a mile in 10 minutes. at this rate, how many miles can Sean run in 30 minutes? Explain how you found this answer. Please I need it quick!

Answers

Answer:

2 miles.

Step-by-step explanation:

In this case, we would multiply the numerator by 3 since we know that it takes him 10 minutes to run 2/3 of a mile. So, 2x3 = 6. Which gives us 6/3. Simplified that would be 2 miles. Hope this helps!

For every 5 campers who voted for hot dogs, there were 4 who voted for Spaghetti. If there were 72 campers in all, how many voted for hot dogs?

Answers

Answer:

Step-by-step explanation:

5+4 = 9

72/9 = 8

8×5 = 40 voted for hot dogs.

The number of campers who voted for hotdogs is 40 campers

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of campers who voted for hot dogs = 5 campers

Let the number of campers who voted for sphagetti = 4 campers

Now , the total campers = 5 + 4

                                        = 9 campers

5 out of 9 campers vote for hot dogs

So ,

The total number of campers = 72 campers

The equation will be ,

The total number of campers who voted for hotdogs =
( number of campers who voted for hot dogs / the total campers ) x 72

The total number of campers who voted for hotdogs = ( 5 / 9 ) x 72

                                                                                        = 5 x 8

The total number of campers who voted for hotdogs = 40 campers

Hence , The number of campers who voted for hotdogs is 40 campers

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

The area of a rectangular rug is 15 feet squared. If the width of the rug is 3 feet, what is the length of the rug.

Answers

Answer:

5

Step-by-step explanation:

if the area is 15 you would divide 15 by 3 and you'll get the length of 5

Answer:

5 feet

Step-by-step explanation:

Can someone solve this step by step?

Answers

Answer:

2 9/14

Step-by-step explanation:

first we must make 1/6 and 3/7 have common demoniaters! (or however u spell it)

1/6 x 7/7 = 7/42

3/7 x 6/6 = 18/42

7/42 + 18/42 = 25/42

2/7 x 6/6 = 12/42

25/42 + 12/42 = 37/42

37/42 + 7/42 = 44/42

44/42 + 18/42 = 62/42

62/42 + 12/42 = 74/42

5/7 x 6/6 = 30/42

74/42 + 30/42 = 104/42

104/42+7/42 = 111/42

111/42 = 2 9/14

the height in feet of a shirt launched from a t shirt cannon high in the stands at a football stadium is given by h(x) =-16x^2 + 64x + 80 where x is the time in seconds after the t shirt is launched. A.)At what height is the t shirt launched?
B.) what will be the height after 3 seconds?

Answers

Answer:

x=2sec

H=144m

Step-by-step explanation:

plz help?

Find the value of x in this proportion.
621=10x

Answers

Answer:

x = 62.1

Step-by-step explanation:

Note the equal sign in this equation, what you do to one side, you do to the other. Isolate the variable, x, by dividing 10 from both sides of the equation:

[tex]621 = 10x\\\\\frac{621}{10} = \frac{10x}{10} \\\\x = \frac{621}{10} \\x = 62.1[/tex]

Answer:

x = 62.1

Step-by-step explanation:

Three rides at the Fun Park cost $10.50. How
many rides can you get on with $38.50?

Answers

i believe you can only go on 3

Answer:

With $38.50 you can get on 11 rides.

Step-by-step explanation:

10.50 ÷ 3 = 3.50 per ride.

38.50 ÷ 3.50 = 11 rides.

HELP ASAP PLS! The ratio of bows to headbands of Monique’s hair accessories is 8:4. Select all true statements.

A. For every 8 hair accessories, 4 are bows.

B. For every 8 bows, there are 4 headbands.

C. For every 8 headbands, there are 4 bows.

D. For every 8 hair accessories, 4 are headbands.

E. For every 12 hair accessories, 4 are headbands.

Answers

For every 8 bows, there are 4 headbands.

Any one know the answer for these two it’s OK if you can only do one

Answers

Answer:

3) 10

4) 12

Step-by-step explanation:

It’s the Pythagorean Theorem.

3) 6²+8²=c²

36+64=c²

100=c²

√100=c

c=10

4) 7.2²+9.6²=c²

51.84+92.16=c²

144=c²

√144=c

c=12

Answer:

c = 10km

Step-by-step explanation:

This is for #3.

Pythagoream Theoreom formula: a^2 + b^2 = c^2

Plug in the numbers into the formula and simplify.

8^2 + 6^2 = c^2

64 + 36 = c^2

100 = c^2

√100 = 10

c = 10km

Hope this helps!:)

120 coins what is the ratio if 2/6 is nickels and 2/6 are dimes and the rest is quarters. What is the ratio of nickels to dimes to quarters?

Answers

Hi there!

If the nickels and dimes ratioe are both 2:6, then the quarter is also 2:6.

The total of of all together is also 6:6 and 6:6 is also 120 coins.

120 divide by 3 different kinds of coins are 40.

This means that there are 40 of 1 coin out of 3 different kinds of coins. What I really mean is that each coins all have 40 each...

Therefore, the ratios of nickels to dimes and to quarters are 40:40:40...

3m² – 17m + 10 factoring polynomials

Answers

Answer:

(3m-2) x (m-5)
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