How to evaluate the following definite integral $\int_0^1\frac{\arctan(ax)}{x\sqrt{1-x^2}}dx$?
140507
Integrating $\frac{\arctan x}{x\sqrt{\smash[b]{1-x^2}}}$
150843
Evaluation of $\int_0^{\pi/4} \sqrt{\tan x} \sqrt{1-\tan x}\,\,dx$
48408
Definite Integral of $\sin(\sin x)$
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$
24589
Integral of $1/(x^2-1)^2$
67317
Definite Integral of square root of polynomial
21616
Calculate integral $\int_{-1}^{1} (1-x^2)^n dx $
24832
Integrating $\frac{1}{\sqrt{ax^2+bx+c}}$ for $a<0$
137625
Need a hint to evaluate the indefinite integral $\int\frac{e^x(2-x^2)}{(1-x)\sqrt{1-x^2}}dx$?
141503
Need help calculating a definite integral
120899
Integration with a constant "a": $ \int_0^a \frac1{\sqrt {a^2-x^2}} dx $
88368
Evaluating $\int_0^1 \sqrt{1 + x ^4 } \, d x $
4971
$\int_{0}^{1}\frac{1-x}{1+x}.\frac{dx}{\sqrt{x+x^2+x^3}}$
117446
calculation of $\int_{0}^{1}\tan^{-1}(1-x+x^2)dx$
145403
Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$
27195
Evaluating $\int_{0}^{1}\frac{1-x}{1+x}\frac{\mathrm dx}{\ln x}$
46706
Integral $\int_0^2 \frac{\arctan x}{x^2+2x+2}dx$