Evaluate .

Answer and explanation

Correct answer: B.

  1. Step 1: Find where the expression inside the absolute value changes sign: .
  2. Step 2: Split the integral into two parts: .
  3. Step 3: First part: .
  4. Step 4: Second part: .
  5. Step 5: Sum the two areas: .
Answer
.
Why not the others: '4' calculates base times height without dividing by 2; '0' integrates without the absolute value, allowing negative and positive regions to cancel; '1' evaluates only one of the two symmetric triangular regions.

Practise more Integration.

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

All Integration questionsTake a mock test

More Integration questions

Revise with flashcards

Evaluate int 0 2 |2x… | AP (Advanced Placement) Integration