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EastWind [94]
3 years ago
9

How do you do this question?

Mathematics
2 answers:
katen-ka-za [31]3 years ago
7 0

Answer:

0

Step-by-step explanation:

∫ sin²(x) cos(x) dx

If u = sin(x), then du = cos(x) dx.

∫ u² du

⅓ u³ + C

⅓ sin³(x) + C

Evaluate between x=0 and x=π.

⅓ sin³(π) − ⅓ sin³(0)

0

Ilya [14]3 years ago
6 0

Answer:

\int\limits^\pi_0 {\sin^2(x)\cos(x)} \, dx=0

Step-by-step explanation:

So we have the integral:

\int\limits^\pi_0 {\sin^2(x)\cos(x)} \, dx

To evaluate this integral, we can use u-substitution. Remember that the derivative of sin(x) is cos(x). So, let u equal sin(x):

u=\sin(x)

Take the derivative of u:

\frac{du}{dx}=\cos(x)

Multiply both sides by dx:

du=\cos(x)dx

So, we can substitute cos(x) x for du.

We can also substitute sin(x) for u. Thus:

So, our integral is now:

\int\limits^\pi_0 {\sin^2(x)(\cos(x)} \, dx)\\

This is equal to:

=\int\limits^\pi_0 {u^2} \, du

However, we also must change our bounds of integration. To do so, substitute in the lower and upper bound into u. So:

u=\sin(x)\\u=\sin(0)=0

And:

u=\sin(x)\\u=\sin(\pi)=0

Therefore, our integral with our new bounds is:

=\int\limits^0_0 {u^2} \, du

Now, note that the integral has the same upper bound and lower bound. Therefore, this means that our integral is going to be 0 since with the same bounds, there will be no area.

Therefore, our answer is 0:

\int\limits^0_0 {u^2} \, du=0

And we're done!

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?? please help a dude out
finlep [7]

Tis so easyAnswer:

1:> 2:< 3>

Step-by-step explanation:

7 0
3 years ago
Write an equation for the line parallel to y = -7x + 15 that passes through the point P(9,-6).
Elan Coil [88]

Answer:

y = -7x + 57

Step-by-step explanation:

If the line is parallel, it will have the same slope. So, this line will also have a slope of -7.

Use y = mx + b, plug in the slope and given point, and solve for b:

y = mx + b

-6 = -7(9) + b

-6 = -63 + b

57 = b

Plug in the slope and y intercept into y = mx + b:

y = mx + b

y = -7x + 57

So, the equation is y = -7x + 57

6 0
3 years ago
Which expression is equivalent to (–3y – x) – (5y – 8x)? –8y – 8x –8y 7x 2y – 7x 8y 8x.
IRINA_888 [86]

The expression is equivalent to -8y + 7x.

Given

Expression; (-3y - x) - (5y - 8x)

<h3>How to find the equivalent expression?</h3>

To find the equivalent expression multiply the expression and add and simplify.

Then,

The expression is equivalent to;

 (-3y - x) - (5y - 8x)

-3y - x - 5y + 8x

-8y + 7x

Hence, the expression is equivalent to -8y + 7x.

To know more about expression click the link given below.

brainly.com/question/13040575

6 0
2 years ago
Farmer Joe is planning to fence in a garden area in a portion of his field which is 75 feet wide. The farmer would like to creat
LenKa [72]
He could make his plot 300 feet long
5 0
3 years ago
Evaluate the expressio <br>-6(-5)+12
natta225 [31]

First, multiply -6*-5. This equals (positive) 30 because the negative signs cancel out.

This leaves you with:

30+12

Doing the addition leaves you with 42.

The answer is 42.

I hope this helps :)

6 0
3 years ago
Read 2 more answers
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