Practicing Success
If \(\int\frac{dx}{\sqrt{\sin^{3}x\left(\sin x+2\cos x\right)}}=f\left(x\right)+C\), then \(f\left(\frac{\pi}{4}\right)\) is equal to |
\(-1\) \(-\sqrt{2}\) \(-\sqrt{3}\) \(-2\) |
\(-\sqrt{3}\) |
\(\frac{1}{\sqrt{\sin^3 x\left(\sin x+2 \cos x\right)}}=\frac{\csc^2 x}{\sqrt{1+2\cot x}}\), put \(1+2\cot x=t^{2}\) |