Find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antiderivative. remember to use absolute values where appropriate.) f(x) = x5 - x3 + 8x - x4

Step-by-step explanation:

Step 1

The first step is to rearrange the function so that powers of x are in descending form as show below,

Step 2

The second step is to realize that the anti derivative is the indefinite integral of the function . We compute the integral and then add the constant C in the end. We will use the result that

on every term of the fraction.

This calculation is shown below,

Step 3

The third step is to verify using differentiation that the indefinite integral is correct. We will do this by differentiating every term of the integral with respect to x as shown below

This shows that the integral is indeed correct.

answer: it's a

step-by-step explanation:

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: