Indefinite integral problem: $\int_1^\frac{n+1}{1} \frac{(x - [x])^{[x]}}{[x]} dx$
8606
Calculate $\int^{n+1}_1 \frac{(\{x\})^{[x]}}{[x]}dx$ where $n\in\mathbb{N}$, $[x]$ is the integer part of $x$ and $\left\{ x\right\} =x-[x]$.
47793
Integral $\int_0^1\sqrt{1-x^4}dx$
141926
A Challenging Logarithmic Integral $\int_0^1 \frac{\log(x)\log(1-x)\log^2(1+x)}{x}dx$
107119
A logarithmic integral $\int^1_0 \frac{\log\left(\frac{1+x}{1-x}\right)}{x\sqrt{1-x^2}}\,dx$
112621
Finding $\int_{0}^{\infty} \frac{e^{3x}-e^x}{x(e^{3x}+1)(e^x+1)} dx$
31227
Find the indefinite integral $\int {dx \over {(1+x^2) \sqrt{1-x^2}}} $
109901
Computing $\int_0^\infty\frac1{(x+1)(x+2)\cdots(x+n)}\mathrm dx $
53518
Integrating : $\int_0^1 {\frac {x^a-x^b} {\ln x} dx}$
145590
Compute the integral $\int\frac{dx}{(x^2-x+1)\sqrt{x^2+x+1}}$
157931
Contour integration of $\int \frac{dx} {(1+x^2)^{n+1}}$
119572
Finding the integral of $\frac{x}{e^x + 1}$
38515
Integral of $\frac{1}{x^4+1}$
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
141688
Indefinite integral of $ \int \frac{x^3}{\sqrt{x^2+1}} \,\text{d}x$.
48233
Evaluating $\int_0^\infty \frac{dx}{1+x^4}$.
146349
$\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
158760
How calculate the indefinite integral $\int\frac{1}{x^3+x+1}dx$