Determine an antiderivative of f(x)=x3+3x2−8x−2.

Primary tabs

Lesson Parent: 
Antiderivatives
Problem: 

Determine an antiderivative of f(x)=x3+3x2−8x−2.

Answer: 

F(x)=14x4+x3−4x2−2x+C

SAMPLE SOLUTION

All of our problems have fully worked out, logical solutions. We connect every solution to its underlying lesson so you can understand the concepts needed to solve any problem and reinforce your learning by practicing with similar problems. All of the formulas are available to our subscribers, but here is a sample of the problem solution you will see when you log in:



Solution: 

From this problem we know that in general an antiderivative of a polynomial

<Sign in to see all the formulas>


is

<Sign in to see all the formulas>

Therefore, the function

<Sign in to see all the formulas>


is an antiderivative of f(x).