A Messy Definite Integral $\int_0^1 (x\ln x)^n dx$ or a Trick?
139121
Evaluating $\int _0 ^1 x^k(\ln x)^m dx$ for integer $k$ and $m$
46217
A nasty indefinite integral $ \int \frac{1}{x(x+1)(x+2)(x+3)(x+4) ... (x+m)} dx $
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
123802
Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?
57686
Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
51216
Different ways to tackle the integral $\int_0^1\sqrt\frac x{1-x}\,dx$
88708
An integration of product $(1-x^n)$
7042
Defined integral of $x^{\alpha} (1-x)^{\beta-1}$
46310
Showing that $ \int_{0}^{1} \frac{x-1}{\ln(x)} \mathrm dx=\ln2 $
120425
Bizarre Definite Integral
125506
Why can I get two different results when calculating $\int \ln(z) \,dz$?
121406
Interesting Integration with respect to $[x]$ where $[\cdot]$ is greatest integer function
126654
What is the definite integral $\int_{-1}^1 \frac{1}{x} dx$ equal to?
17333
Definite Integral $\int_2^4\frac{\sqrt{\log(9-x)}}{\sqrt{\log(9-x)}+\sqrt{\log(3+x)}}dx$
124463
Integral from $0$ to $\infty$ of $\ln(x)/e^x$
101045
Is there a closed form for the integral $\int_0^1 x^n \log^m (1-x) \, {\rm d}x$?
141926
A Challenging Logarithmic Integral $\int_0^1 \frac{\log(x)\log(1-x)\log^2(1+x)}{x}dx$