Does $\int_{ - 1}^1 {\frac{1}{x}dx} = 0 \text { or } \infty $?
43329
Why is $\int_{-1}^{1} \frac{1}x \mathrm{d}x$ divergent?
95068
Integral of $\frac{1}{2x}$
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
79908
Show $\int_0^\infty \frac{e^{-x}-e^{-xt}}{x}dx = \ln(t),$ for $t \gt 0$
48233
Evaluating $\int_0^\infty \frac{dx}{1+x^4}$.
151127
Confirm that $\int_{0}^{\infty}t^{-1}\sin t dt=\pi/2$
1626
How do we prove $\int_I\int_x^1\frac{1}{t}f(t)\text{ dt}\text{ dx}=\int_If(x)\text{ dx}$
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
6892
Why is it not true that $\int_0^{\pi} \sin(x)\; dx = 0$?
102639
How to receive the result of the integral $ \int\frac{1}{x}dx$ is $\ln|x|$?
152860
How to evalute $\int_{0}^{1}\frac{x\log x}{\log(1-x)}dx$
72036
Closed form of $\int_0^\infty \sin(x)\sin\left(\frac{1}{x}\right)dx$?
21522
This integral is defined ? $\displaystyle\int_0^0\frac 1x\:dx$
112551
Demystify integration of $\int \frac{1}{x} \mathrm dx$
112621
Finding $\int_{0}^{\infty} \frac{e^{3x}-e^x}{x(e^{3x}+1)(e^x+1)} dx$
63956
Evaluate $\int_0^{\infty}\frac{\ln x}{x^a(x+1)}dx$ where $0<a<1$