Answer and explanation

Correct answer: D. 8

Step 1. Use the power rule of integration to find the antiderivative: .
Step 2. Evaluate the antiderivative at the limits and : .
  1. Step 3: Simplify the value to obtain 8.
Answer
8.
Why not the others: Other numerical options result from omitting antiderivative power division, using incorrect integration bounds, or arithmetic mistakes during upper-bound evaluation.

Practise more Integration.

Free questions with an explanation for every one, and full timed AP (Advanced Placement) mock tests.