How to calculate $\int_{0}^\infty \frac{dx}{(x^2+ax+b)^{\frac{3}{2}}}$?
115509
Integral $\int\frac{dy}{(y^2 + ay + b)^{3/2}}$
122843
Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
158760
How calculate the indefinite integral $\int\frac{1}{x^3+x+1}dx$
100180
Evaluate the integral $\int_0^\infty \frac{dx}{\sqrt{(x^3+a^3)(x^3+b^3)}}$
93071
Is there a way to calculate the improper integral $\int_0^\infty \big(\frac{\ln x}{x - 1}\big)^2 dx$?
15569
Integral of the form $\int_0^\infty \exp{\left(-\frac{(a+bx)^2}{x}\right)}\frac{dx}{\sqrt{x^3}}$
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
4971
$\int_{0}^{1}\frac{1-x}{1+x}.\frac{dx}{\sqrt{x+x^2+x^3}}$
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
70013
How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
63650
Evaluating the contour integral $\int_{0}^{\infty}\frac{\sin^{3}(x)}{x^{3}}\mathrm dx$
110922
What are different ways to compute $\int_{0}^{+\infty}\frac{\cos x}{a^2+x^2}dx$?
67622
Proving of Integral $\int_{0}^{\infty}\frac{e^{-bx}-e^{-ax}}{x}dx = \ln\left(\frac{a}{b}\right)$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
76129
Evaluate $\int_0^\infty\frac{\sin(\varphi_1x)}x\frac{\sin\varphi_2x}x\cdots\frac{\sin\varphi_nx}x\frac{\sin(ax)}x\cos(a_1x)\cdots\cos(a_mx) \, dx$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$