ExamHabit
Practise free

JEE Main 2019 · 9 Apr · Shift II

JEE Main 2019 Mathematics question on Definite Integrals and Areas

The value of the integral ∫01xcot⁡−1(1−x2+x4)dx\int\limits_0^1 x\cot^{-1}(1-x^2+x^4)dx is
  1. A.
    π4−12log⁡e2\dfrac{\pi}{4} - \dfrac{1}{2}\log_e 2
  2. B.
    π2−12log⁡e2\dfrac{\pi}{2} - \dfrac{1}{2}\log_e 2
  3. C.
    π4−log⁡e2\dfrac{\pi}{4} - \log_e 2
  4. D.
    π2−log⁡e2\dfrac{\pi}{2} - \log_e 2
Show answer

Correct option: A

[JEE Main 2019 · 9 Apr · Shift II]

Practise Definite Integrals and Areas the way it is asked

A timed set of real JEE Main Definite Integrals and Areas questions, graded as the exam grades. No sign-up.

Start a Definite Integrals and Areas test

More: all JEE Main Definite Integrals and Areas questions · JEE Main 2019 · Mathematics chapter list