Evaluate .

Answer and explanation

Correct answer: C. 12

  1. Step 1: Apply the fundamental theorem of calculus: , where .
  2. Step 2: For , an antiderivative is .
  3. Step 3: Evaluating at gives .
Answer
12.
Why not the others: 6 miscalculates the power rule integration or evaluation limits; 24 miscalculates the power rule integration or evaluation limits; 18 miscalculates the power rule integration or evaluation limits.

Practise more Integration.

Free questions with an explanation for every one, and full timed JEE Main mock tests.

All Integration questionsTake a mock test

More Integration questions

Evaluate int 0 2 6x 1,dx. | JEE Main Integration