Trigonometric integral involving the fractional part
127343
Trigonometric integral involving the fractional part function
43699
How do I integrate $\int \frac{dx}{\sin^3 x + \cos^3 x}$?
62450
Computing $ \int_0^{2\pi} \frac{1}{a^2\cos^2 t+b^2 \sin^2 t} dt \;; a,b>0$.
102156
Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
117113
Integration of $x^2 \sin(x)$ by parts
64417
Integration of $\int \frac{x^2+20}{(x \sin x+5 \cos x)^2}dx$
138230
Evaluate $ \int^{\frac{\pi}{2}}_0 \frac{\sin x}{\sin x+\cos x}\,dx $ using substitution $t=\frac{\pi}{2}-x$
6573
Compute $\int \frac{\sin(x)}{\sin(x)+\cos(x)}\mathrm dx$
126046
solving the integral $ \int_0^\infty \dfrac{\sin xt}{x(x^2+1)} dx $
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
140386
Integrate $\int {\dfrac{x^2+\left(n-1\right)n}{\left(x\sin x+n\cos x\right)^2}}dx $
6852
Integral of $\int \frac{x \sin{x} \cos{x}}{(a^2 \sin^2 x + b^2 \cos^2 x)^2} dx $
143734
Evaluating $\int \frac{\sin\left(x\right)}{1+x^2}dx$
8225
Calculating the integral $\int_{1/3}^{3}\frac{\arctan(x)}{x^2-x+1}\;\mathrm{d}x$
54831
Integral of $\sqrt{1-x^2}$ using integration by parts
118701
Evaluate $\int_{0}^{\frac{\pi }{2}}\frac{x dx}{\sin x +\cos x}$
156215
Integral $\int\frac{2x^2}{2x\cos(2x)+(x^2-1)\sin(2x)} \mathrm d x$