integration of $\int_{0}^{\infty}\frac{2\sin x-\sin2x}{x^n}dx$
16639
How to integrate $ \int_0^\infty \sin x \cdot x ^{-1/3} dx$ (using Gamma function)
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
91196
Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$
101030
Integration $I_n=\int _0^{\pi }\sin^{2n}\theta d\theta $
129892
show $\int_0^{\infty} \frac{x\sin ax}{x^2+t^2}dx = \frac{\pi}{2}e^{-at}$
27002
Evaluating $\int\limits_0^{\pi} \frac{dx}{1+2\sin^2x}$
118701
Evaluate $\int_{0}^{\frac{\pi }{2}}\frac{x dx}{\sin x +\cos x}$
144811
Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
91290
Evaluating $\lim_{n \to \infty} \int_{0}^{\pi} \frac{\sin x}{1+\cos ^2(nx)} dx$
130967
How to show that $\int_{0}^{\infty}{\sin(x)\sin(2x)\sin(4x)\cdots\sin(2^kx)\over x^{k+1}}\mathrm dx=2^{0.5(k^2-k-2)}\pi?$
25797
Integral of $ x \ln( \sin (x))$ from 0 to $ \pi $
63650
Evaluating the contour integral $\int_{0}^{\infty}\frac{\sin^{3}(x)}{x^{3}}\mathrm dx$
95068
Integral of $\frac{1}{2x}$
75562
How to integrate $\int x^2 \sin^2(x)dx$
6852
Integral of $\int \frac{x \sin{x} \cos{x}}{(a^2 \sin^2 x + b^2 \cos^2 x)^2} dx $
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
15324
A sine integral $\int_0^{\infty} \left(\frac{\sin x }{x }\right)^n\,\mathrm{d}x$