Notable definite integral involving $e$
4287
Proving $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx = \frac{\sqrt \pi}{2}$
91196
Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$
121406
Interesting Integration with respect to $[x]$ where $[\cdot]$ is greatest integer function
78444
Limit of definite integral of $f(x)\cos(mx)$
81057
Evaluation of $\int_{\frac{1}{e}}^{\tan x}\frac{t}{1+t^2}dt+\int_{\frac{1}{e}}^{\cot x}\frac{1}{t(1+t^2)}dt$
69124
Integral $\int_{0}^{\infty}e^{-ax}\cos (bx)\operatorname d\!x$
81825
Orthogonality of sine and cosine integrals.
51216
Different ways to tackle the integral $\int_0^1\sqrt\frac x{1-x}\,dx$
86857
Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
6552
Evaluation of the double integral $\int_{[0,1]×[0,1]} \max\{x, y\} dxdy$
71490
Is there any use for the quantity $\int f(x)^2 dx$ in statistics or information theory?
118195
How does one prove that $e$ exists?
46217
A nasty indefinite integral $ \int \frac{1}{x(x+1)(x+2)(x+3)(x+4) ... (x+m)} dx $
73131
Derivation of the gaussian integral
15625
Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration
41738
Best way to integrate $ \int_0^\infty \frac{e^{-at} - e^{-bt}}{t} \text{d}t $
121988
Asymptotic expansion of the complete elliptic integral of the first kind