Integrate the following w. r.t x 1) 2x^2/3.
2) (5-x)^23

A)

B)

Step-by-step explanation:

A)

So we have the integral:

First, remove the constant multiple:

Use the power rule, where:

Therefore:

Simplify:

And multiply:

And, finally, plus C:

B)

We have the integral:

To solve, we can use u-substitute.

Let u equal 5-x. Then:

So:

Move the negative outside:

Power rule:

Add:

Substitute back 5-x:

Constant of integration:

And we're done!

24

step-by-step explanation: