JEE Main Maths · Integrals

Symmetric Limits with Exponential Denominator Trick

Symmetric Limits with Exponential Denominator Trick (Integrals) was asked 3 times in 3 JEE Main shifts, 2024–2026, out of the 42 shifts Lumi analysed.

Times asked: 3; in 3 shifts
Years: 2024–2026
Usual format: Single correct; Multi-step
Pattern: New since 2024; repeats across shifts

How it is asked

Definite integral with exponential denominator trick
Definite integral with exponential denominator symmetric limits

Difficulty

Easy 0Medium 2Hard 1

Where it sits

Chapter: Integrals. Topic: Definite Integral Properties, 30 questions over 12 ideas.

All 3 questions

Newest first, each with its options and official answer.

6 Apr 2026, Shift 1 · Q18The value of the integral $\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(\frac{32\cos^4 x}{1+e^{\sin x}}\right)dx$ is:MediumSingle correct
2 Apr 2025, Shift 2 · Q19Let $(a, b)$ be the point of intersection of the curve $x^2 = 2y$ and the straight line $y - 2x - 6 = 0$ in the second quadrant. Then the…MediumSingle correct
29 Jan 2024, Shift 1 · Q11If the value of the integral…HardSingle correct