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JEE Main Maths · Integrals

Roots of Quadratics via Parts

Roots of Quadratics via Parts (Integrals) was asked once in the 42 JEE Main shifts Lumi analysed, in 2025.

Times asked: 1; in 1 shift
Years: 2025
Usual format: Single correct; Multi-step
Pattern: New since 2024; asked once so far

How it is asked

Integrate radical expression then evaluate logs

Difficulty

Easy 0Medium 0Hard 1

Where it sits

Chapter: Integrals. Topic: Integration by Parts, 6 questions over 5 ideas.

Other repeat ideas in this topic

Logarithm of Quadratic Roots2×

Every time it came

The question

Newest first, each with its options and official answer.

2 Apr 2025, Shift 2 · Q18 $4\int_0^1 \left(\frac{1}{\sqrt{3+x^2}+\sqrt{1+x^2}}\right)\mathrm{d}x - 3\log_e(\sqrt{3})$ is equal to :HardSingle correct