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New posts in definite-integrals
Evaluate $\int_0^1\frac{\ln x\ln(1-x)}{1+x^2}\ dx$
calculus
integration
definite-integrals
harmonic-numbers
polylogarithm
How to "fix" $\int_{-1}^1 \frac {dx}{x^2}$ with complex numbers?
calculus
integration
definite-integrals
complex-numbers
improper-integrals
Math competition problem, prove that $\int_{-\infty}^\infty e^{-\pi x^2 \left(\frac{\alpha +x}{\beta +x}\right)^2}dx=1~$ for $~0<\beta<\alpha$.
calculus
integration
definite-integrals
contest-math
closed-form
Computing $\int \sqrt{x\sqrt[3]{x\sqrt[4]{x\sqrt[5]{x\cdots}}}} \,\mathrm{d}x$
sequences-and-series
definite-integrals
Algorithms for symbolic definite integration?
abstract-algebra
definite-integrals
computer-algebra-systems
symbolic-computation
Fourier transform of squared exponential integral $\operatorname{Ei}^2(-|x|)$
calculus
integration
definite-integrals
fourier-analysis
special-functions
Lower bound on $\int_0^{\pi/4}\sin(\tan x)dx$
integration
definite-integrals
taylor-expansion
Compute the trigonometric integrals
calculus
real-analysis
definite-integrals
Solving higher order logarithms integrals without the beta function
calculus
integration
definite-integrals
special-functions
Other integral related to Ahmed's integral
calculus
integration
definite-integrals
improper-integrals
closed-form
difficult integral $\int_0^{\pi/2}\frac{x^2({1+\tan x})^2}{\sqrt{\tan x}({1-\tan x})}\sin{4x}dx$ [closed]
integration
definite-integrals
Changing signs of integration limits
integration
analysis
definite-integrals
Convergence of $ I=\int_0^\infty \sin x\sin(x^2)\mathrm{d}x$
calculus
integration
definite-integrals
improper-integrals
Simplifying $\int_0^1 x^{a-1} (1-x)^{b-1} \, _2F_1\left(1,d;c+d+1;2-\frac{1}{x}\right) \, dx$
statistics
definite-integrals
hypergeometric-function
beta-function
Proving $\sum _{k=1}^n \frac{(-1)^{k-1} 16^k (k-1)! k! (k+n-1)!}{((2 k)!)^2 (n-k)!}=\frac{4}{n}\sum _{k=1}^n \frac{1}{2 k-1}$
integration
definite-integrals
summation
special-functions
Trying to evaluate $\int_{0}^{\infty}\frac{\ln(1+x^3)}{1+x^3}\frac{dx}{1+x^3}$
calculus
integration
definite-integrals
trigonometric-integrals
How do Integral Transforms work
definite-integrals
linear-transformations
laplace-transform
fourier-transform
inverse-laplace
Why do the Borwein integrals stop being $\frac{\pi}{2}$?
reference-request
definite-integrals
divergent-series
Why should we get rid of indefinite integration?
integration
definite-integrals
indefinite-integrals
Evaluate integral $\int_0^\pi \sin^4\left(x+\sin 3x\right)dx$
calculus
integration
definite-integrals
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