Evaluate \[ I=\int_0^{\pi/2}\frac{\sin x\cos x}{\sin^4x+\cos^4x}\,dx. \]
Evaluation of $\int_0^{\pi/2}\sin x\cos x/(\sin^4x+\cos^4x)\,dx$
P-BKS19-1B
- Area
- Prelim
- Seen at
- BERKELEY
- Years
- 2019
- Status
- draft
P-BKS19-1B
Evaluate \[ I=\int_0^{\pi/2}\frac{\sin x\cos x}{\sin^4x+\cos^4x}\,dx. \]