edurack

Integrals: JEE Mains 2024 1st Feb Shift 1

Hard· Definite integrals and properties· +4 / −1

The value of

\int_0^{\pi/4}\frac{x\,dx}{\sin^4(2x)+\cos^4(2x)}

is equal to

Practise more Integrals PYQs

About this question

Previous-year question from JEE Mains 2024 1st Feb Shift 1.
Tagged hard difficulty.

_-π/2^π/282 x(1+e^ x)(1+^4x)dx=aπ+b(3+22) then find a+b .
JEE Mains 2024 1st Feb Shift 1 · Hard
_0^5(π(x-[ x2]))dx , where [t] denotes greatest integer less than or equal to t , is equal to :
JEE Mains 2022 June 29 Shift 1 · Medium
Let f be a real valued continuous function on [0,1] and f(x)=x+_0^1(x-t)f(t)\,dt . Then which of the following points (x,y) lies on the…
JEE Mains 2022 June 29 Shift 2 · Hard