JEE Advanced

AI Gen: Definite Integration Advanced question bank (Mathematics)

Practice 8 free JEE Advanced Mathematics - AI Gen: Definite Integration Advanced questions with answers and step-by-step solutions.

Start free Book a demo
All Easy
Q1.

The value of the definite integral from 0 to pi/2 of ln(sin(x)) dx is:

Topic: Definite Integration Advanced | Source: AI Generated (JEE Advanced)

(A)
pi * ln(2)
(B)
pi * ln(2)
(C)
pi/2 * ln(2)
(D)
0
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers, instant hints, and detailed explanations.
Sign in to view
Q2.

Evaluate the integral from 0 to 1 of x^4 * (1-x)^4 / (1 + x^2) dx:

Topic: Definite Integration Advanced | Source: AI Generated (JEE Advanced)

(A)
pi/2 - 22/15
(B)
22/7 - pi
(C)
pi/4 - 22/105
(D)
pi/2 - 43/105
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers, instant hints, and detailed explanations.
Sign in to view
Protected Questions

Unlock All 8 Questions in AI Gen: Definite Integration Advanced

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign in to unlock Create free account

Sign up free to access all 8 questions

Unlock every AI Gen: Definite Integration Advanced question, generate papers, and practice at your own pace.

Start free