JEE Main 2026 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 2 April 2026, Shift 2, Maths Q17

Question 17 of 75 in this shift, Maths question 17 of 25, Section A.

The value of

\int_0^{20\pi} (\sin^4 x + \cos^4 x)dx

is equal to:

(1) $\frac{15\pi}{2}$
(2) $25\pi$
(3) $15\pi$ Official answer
(4) $\frac{25\pi}{2}$

Official answer

Option 3

NTA final key.

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: Periodic Function Property

Same idea in other shifts

Asked 2× in all

25 Jul 2022, Shift 1 · Q9For any real number $x$ , let $[x]$ denote the largest integer less than equal to $x$ . Let $f$ be a real valued function defined on the…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.