Why can't $e^{x^2}$ be integrated
38751
What is the antiderivative of $e^{-x^2}$
40537
How to prove $\int_0^\infty e^{-x^2}cos(2bx) dx = \frac{\sqrt{\pi}}{2} e^{-b^2}$
35032
Why is integration so much harder than differentiation?
28441
Why can't the indefinite integral $\int\frac{\sin(x)}{x}\mathrm dx$ be found?
71742
integrate $\int_0^{2\pi} e^{\cos \theta} \cos( \sin \theta) d\theta$
130670
Solving Integrals
34368
Problem when integrating $e^x / x$.
76115
Very difficult integral (for me)
125764
Under what conditions does Mathematica give a natural antiderivative when integrating?
146737
Integrate $\iiint_E z\,dx\,dy\,dz$ in $E=\lbrace(x,y,z) : x^2+y^2+z^2 \leq 4, z \leq 1 \rbrace$
138968
how to integrate $\frac{1}{\sqrt{e^{2x}+e^x+1}}$
121403
How to integrate $ \int x^n e^x dx$?
67588
Why does $|e^{ix}|^2 = 1$?
74229
$2x^2+3y^2=z^2$ does not have a non-zero integral solution.
94395
Integral: $\int_{-\infty}^{\infty} x^2 e^{-x^2}\mathrm dx$
117419
Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
123940
How can one prove the impossibility of writing $ \int e^{x^{2}} \, \mathrm{d}{x} $ in terms of elementary functions?