JEE Main 2026 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 6 April 2026, Shift 1, Maths Q18

Question 18 of 75 in this shift, Maths question 18 of 25, Section A.

The value of the integral

\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(\frac{32\cos^4 x}{1+e^{\sin x}}\right)dx

is:

(1) $4\pi+2$
(2) $3\pi+8$ Official answer
(3) $3\pi+4$
(4) $4\pi+3$

Official answer

Option 2

NTA final key.

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: Symmetric Limits with Exponential Denominator Trick

Same idea in other shifts

Asked 3× in all

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

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.