Smarter way to solve $ \int_0^1\arctan(x^2)\,dx$
45092
Integrating a function of tan inverse
95108
Alternative form of ArcSin[Sin[x]]
140507
Integrating $\frac{\arctan x}{x\sqrt{\smash[b]{1-x^2}}}$
44501
Indefinite integral of secant cubed
130670
Solving Integrals
143878
Solve: $\int x^3\sqrt{4-x^2}dx$
41447
tough integral involving $\sin(x^2)$ and $\sinh^2 (x)$
146084
Different methods of evaluating $\int\sqrt{a^2-x^2}dx$:
7500
$\arctan$ of a square root as a rational multiple of $\pi$
115128
How do I show this $\cos^2(\arctan(x))=\frac{1}{1+x^2}$
93365
Solutions of $\arctan x = 1 - x$. Proofs?
8225
Calculating the integral $\int_{1/3}^{3}\frac{\arctan(x)}{x^2-x+1}\;\mathrm{d}x$
152336
Any hint to solve given integral $\int_0^{2{\pi}}{{d\theta}\over{a^2\cos^2\theta+b^2\sin^2\theta}}$?
52982
Efficient/faster methods to find the general closed form of $\int _0^1\frac{\ln \left(ax^2+b\right)}{x+1}\:dx$
24391
$\arcsin$ written as $\sin^{-1}(x)$
117393
Behavior of ArcTan when two zeros are given as arguments
143949
How to get nth derivative of $\arcsin x$