Learn

Saturday, 10 October

JEE Main Maths · Integrals

Pure Quadratic Outside and Inside Root Substitution

Pure Quadratic Outside and Inside Root Substitution (Integrals) was asked once in the 42 JEE Main shifts Lumi analysed, in 2022. 1 of the 1 had a numerical answer.

Times asked
1
in 1 shift
Years
2022
Usual format
Numerical value
Calculation
Pattern
Occasional
asked once so far

How it is asked

  • Definite integral with nested radical substitution

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. 28 Jul 2022, Shift 1 · Q24If ∫0315x31+x2+(1+x2)3 dx=α2+β3\int_0^{\sqrt{3}}\frac{15x^3}{\sqrt{1+x^2+\sqrt{(1+x^2)^3}}}\,dx=\alpha\sqrt{2}+\beta\sqrt{3}, where α,β\alpha,\beta are integers,…HardNumerical value