Calculate $\int_0^1 f(x) dx$
113066
Calculate $\int_0^1f(x)dx$
144146
find a $\int_{x}^{g(x)} f(t)\,dt = 1$
92685
Let $f:[0,1]\to\mathbb{R}$ be a continuous function. Calculate $\lim\limits_{c\to 0^+} \int_{ca}^{cb}\frac{f(x)}{x}\,dx$
104691
Integration of $\int_{0}^{1} \frac{x^k}{1-x} dx$
88670
Evaluating $\int \frac{1}{{x^4+1}} dx$
8289
Hints on calculating the integral $\int_0^1\frac{x^{19}-1}{\ln x}\,dx$
158180
An inequality of $\int_0^1 |f(x)|dx$
31964
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
57686
Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
53518
Integrating : $\int_0^1 {\frac {x^a-x^b} {\ln x} dx}$
51291
How can I express $\int \frac{1}{f'(x)}$ in terms of $f(x)$
46898
Fast calculation for $\int_{0}^{\infty}\frac{\log x}{x^2+1}dx=0$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
65982
Evaluate the improper integral $ \int_0^1 \frac{\ln(1+x)}{x}\,dx $
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
139784
Computing integration $\int_0^1\frac{\ln x}{1-x}d x$
144942
Obtain the value of $\int_0^1f(x) \ dx$, where $f(x) = \begin{cases} \frac {1}{n}, & \frac{1}{n+1}<x\le\frac{1}{n}\\ 0, & x=0 \end{cases}$