defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Integral Calculus Properties of Definite Integrals
The value of the integral
\(\rm \int\limits_0^{\frac{\pi}{4}}\frac{xdx}{sin^4(2x)+cos^4(2x)}\) equals:
1
\(\rm \frac{\sqrt2\pi^2}{8}\)
2
\(\rm \frac{\sqrt2\pi^2}{16}\)
3
\(\rm \frac{\sqrt2\pi^2}{32}\)
4
\(\rm \frac{\sqrt2\pi^2}{64}\)