Find the value of $\color{brown}\displaystyle \int^{\pi}_{0}\sin^4(x+\sin (3x))dx.$
93174
Evaluate integral $\int_0^\pi \sin^4\left(x+\sin 3x\right)dx$
8919
If $\alpha = \frac{2\pi}{7}$ then the find the value of $\tan\alpha .\tan2\alpha +\tan2\alpha \tan4\alpha +\tan4\alpha \tan\alpha.$
4693
what is the$ \int \sin (x^2) \, dx$?
146338
How to evaluate $\int\frac{1+x^4}{(1-x^4)^{3/2}}dx$?
118701
Evaluate $\int_{0}^{\frac{\pi }{2}}\frac{x dx}{\sin x +\cos x}$
38949
How to Evaluate $\int e^{2x}\sin(3x)\ dx$?
109785
show that $\int_{0}^{\infty} \frac {\sin^3(x)}{x^3}dx=\frac{3\pi}{8}$
142610
Solving $\sin x\cos3x+\cos x\sin3x=\sqrt{3}/2$ in the interval $[0,2\pi]$
147641
How to evaluate $\int \frac { \sin x+\cos x }{ \sin^4 x+\cos^4x}\, dx$?
139297
Find the sign of $\int_{0}^{2 \pi}\frac{\sin x}{x} dx$
136385
Integrate $ \int_{0}^{\frac{\pi}{4}}\tan^{-1}\left(\frac{\sqrt{2}\cos3 \phi}{\left(2\cos 2 \phi+ 3\right)\sqrt{\cos 2 \phi}}\right)d\phi$
55738
Evaluating $\int _0^{\frac{\pi }{2}}\:\frac{\sqrt[3]{\sin^2\left(x\right)}}{\sqrt[3]{\sin^2\left(x\right)}+\sqrt[3]{\cos^2\left(x\right)}}dx$
11499
How to show the inequality for $\int_{0}^{\pi/4}\tan^n(x) dx$
24808
How to evaluate the integral $\int \sqrt{1+\sin(x)} dx$
60491
Evaluate $ \int_{25\pi/4}^{53\pi/4}\frac{1}{(1+2^{\sin x})(1+2^{\cos x})}dx $
98787
Calculation of $\int \sqrt{\tan x+2}dx$
130967
How to show that $\int_{0}^{\infty}{\sin(x)\sin(2x)\sin(4x)\cdots\sin(2^kx)\over x^{k+1}}\mathrm dx=2^{0.5(k^2-k-2)}\pi?$