Evaluate the indefinite integral: .
Answer and explanation
Correct answer: C.
- Step 1: Use -substitution: let , then .
- Step 2: Substitute into the integral: .
- Step 3: Since for all real , this simplifies to .
Answer
.
Why not the others: The option differentiates the denominator; the option applies to (which lacks ); the option includes an unnecessary coefficient of 2.
Practise more Integration.
Free questions with an explanation for every one, and full timed AP (Advanced Placement) mock tests.