Learn

Friday, 9 October

JEE Main Maths · Integrals

Odd Power of Cosine Substitution

Odd Power of Cosine Substitution (Integrals) was asked once in the 42 JEE Main shifts Lumi analysed, in 2023. 1 of the 1 had a numerical answer.

Times asked
1
in 1 shift
Years
2023
Usual format
Numerical value
Multi-step
Pattern
Occasional
asked once so far

How it is asked

  • Definite integral by substitution of sin x

Difficulty

Easy 0Medium 0Hard 1

Where it sits

Chapter: Integrals. Topic: Integration by Substitution, 22 questions over 15 ideas.

Other repeat ideas in this topic

Every time it came

The question

Newest first, each with its options and official answer.

  1. 13 Apr 2023, Shift 2 · Q26Let fn=∫0π2(∑k=1nsin⁡k−1x)(∑k=1n(2k−1)sin⁡k−1x)cos⁡x dxf_n=\int_0^{\frac{\pi}{2}}\left(\sum_{k=1}^{n}\sin^{k-1}x\right)\left(\sum_{k=1}^{n}(2k-1)\sin^{k-1}x\right)\cos x\,dx,…HardNumerical value