How does one calculate $\int_0^1 \frac {\arcsin(x)}{x}dx$?
68504
Compute $\int_0^1 \frac{\arcsin(x)}{x}dx$
127284
Closed form of $\int_0^{\pi/2} \frac{\arctan^2 (\sin^2 \theta)}{\sin^2 \theta}\,d\theta$
5747
$\cos(\arcsin(x)) = \sqrt{1 - x^2}$. How?
95673
General formula for $\sin\left(k\arcsin (x)\right)$
110731
How to compute $\int_{0}^{1}\int_{0}^{1} \frac{x-y}{(x+y)^3} dxdy$
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
117587
$\int_{0}^{1}\frac{\sin^{-1}\sqrt x}{x^2-x+1}dx$
63251
Evaluation of $\int^1_0\frac{x^b-x^a}{\ln x} d x=\ln{{\frac{1+b}{1+a}}}$
139784
Computing integration $\int_0^1\frac{\ln x}{1-x}d x$
36128
Using differentiation for computing $\int_{0}^{1}\frac{\arctan(ax)}{x\sqrt{1-x^2}}\,dx$
24391
$\arcsin$ written as $\sin^{-1}(x)$
102156
Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
109887
How to evaluate $\int_0^1 (\arctan x)^2 \ln(\frac{1+x^2}{2x^2}) dx$
105897
Evaluate the limit containing $\arctan{x}$ and $\arcsin{x}$
126852
Evaluate $\int \frac{1}{\sin x+\sec x}\,dx $
95108
Alternative form of ArcSin[Sin[x]]
18473
Proof for the formula of sum of arcsine functions $ \arcsin x + \arcsin y $