Evaluate .

Answer and explanation

Correct answer: B. 9/2

  1. Step 1: Apply the fundamental theorem of calculus: , where .
  2. Step 2: For , an antiderivative is .
  3. Step 3: Evaluating at gives .
Answer
9/2.
Why not the others: 9 miscalculates the power rule integration or evaluation limits; 1 miscalculates the power rule integration or evaluation limits; 3 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 3 1x 1,dx. | JEE Main Integration