Why can't the indefinite integral $\int\frac{\sin(x)}{x}\mathrm dx$ be found?
3978
How can you prove that a function has no closed form integral?
10319
Definite Integral $\int_{-\infty}^{\infty}\frac{x\sin x}{(x^2+a^2)(x^2+b^2)}\,\mathrm{d}x$
155422
Evaluating $\int_{0}^{\frac{\pi}{2}}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}\, \mathrm{d}x$
6852
Integral of $\int \frac{x \sin{x} \cos{x}}{(a^2 \sin^2 x + b^2 \cos^2 x)^2} dx $
89956
Is the integral $\int_0^\infty \frac{\mathrm{d} x}{(1+x^2)(1+x^a)}$ equal for all $a \neq 0$?
139297
Find the sign of $\int_{0}^{2 \pi}\frac{\sin x}{x} dx$
90573
Indefinite integral $\int(\sin x)^2/(x\cdot\cos x-\sin x)^2\,dx$
71611
Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$
141688
Indefinite integral of $ \int \frac{x^3}{\sqrt{x^2+1}} \,\text{d}x$.
40272
Can we find a closed form for this integral?
3704
Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?
43699
How do I integrate $\int \frac{dx}{\sin^3 x + \cos^3 x}$?
70715
How do I prove $\int_0^\pi\frac{(\sin nx)^2}{(\sin x)^2}dx = n\pi$?
38005
Integral of $\sin (x^3)dx$
128572
How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?
41447
tough integral involving $\sin(x^2)$ and $\sinh^2 (x)$
31552
A contradictory integral: $\int \sin x \cos x \, \mathrm dx$