Integrating $\int x \sin \sqrt x dx$ and substituting $u=\sqrt x$
99457
How to integrate $\int x\sin {(\sqrt{x})}\, dx$
31529
Integrating $\int^2_{-2}\frac{x^2}{1+5^x}$
27812
Understanding the differential $dx$ when doing $u$-substitution
123500
Integration of $\frac {1}{1+\sin x}$
130220
Why should the substitution be injective when integrating by substitution?
42992
How do I integrate the following? $\int{\frac{(1+x^{2})\mathrm dx}{(1-x^{2})\sqrt{1+x^{4}}}}$
67340
Integrate $\int \frac{dx}{\sqrt{\sin^3x\sin(x+\alpha)}}$
114956
Integrate $\int \cos^4 x\,\mathrm dx.$
67608
Integration of $1/(x^2+x\sqrt{x})$
29370
Trig integral $\int ( \cos{x} + \sin{x}\cos{x}) \, dx $
126576
Most efficient way to integrate $\int_0^\pi \sqrt{4\sin^2 x - 4\sin x + 1}\,dx$?
98787
Calculation of $\int \sqrt{\tan x+2}dx$
98757
Solving an integral with substitution method
84683
integrate $dx/(a^2 \cos^2x+b^2 \sin^2x)^2$
15947
Validity of Substitutions in Integrals
54831
Integral of $\sqrt{1-x^2}$ using integration by parts
140860
Variable substitution when integrating with Mathematica