How do I derive a reduction formula for $\int \frac{x^n}{\sqrt{x^2 + a^2}}dx$?
141387
Reduction Integration of $I_n=\int{\frac{x^n}{\sqrt{x^2+a^2}} dx}$
154910
Calculus Reduction Formula
138914
Reduction formula for $\int \tan^n x dx$
50735
The integral $\int_0^8 \sqrt{x^4+4x^2}\,dx$
116520
formula for the $n$th derivative of $e^{-1/x^2}$
54831
Integral of $\sqrt{1-x^2}$ using integration by parts
54735
What is the closed form of $\int e^{x^2} \, dx$?
133160
Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$
31227
Find the indefinite integral $\int {dx \over {(1+x^2) \sqrt{1-x^2}}} $
80736
How to integrate $\int\frac{\sqrt{1+x^2}}{x}\,\mathrm dx$
150890
Evaluating $\int_{\mathbb{R}}\frac{\exp(-x^2)}{1+x^2}\,\mathrm{d}x$
146338
How to evaluate $\int\frac{1+x^4}{(1-x^4)^{3/2}}dx$?
70715
How do I prove $\int_0^\pi\frac{(\sin nx)^2}{(\sin x)^2}dx = n\pi$?
156597
Proving a reduction formula for the antiderivative of $\cos^n(x)$
144953
Value of $\frac{x^n -a^n}{ x-a}$?
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$