How to evaluate $\int_0^1\arctan (1-x+x^2)dx$?
117446
calculation of $\int_{0}^{1}\tan^{-1}(1-x+x^2)dx$
69803
An elementary proof of $\int_{0}^{1}\frac{\arctan x}{\sqrt{x(1-x^2)}}\,dx = \frac{1}{32}\sqrt{2\pi}\,\Gamma\left(\tfrac{1}{4}\right)^2$
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
138195
An inequality for arctan$x$
72179
How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
38511
Evaluation of $\int\frac{1}{x^2.(x^4+1)^{\frac{3}{4}}}dx$
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
104094
Integral of $\frac{1}{(1+x^2)^2}$
49443
What is the value of $\arctan(1/2)+\arctan(1/5)+\arctan(1/8)$?
88670
Evaluating $\int \frac{1}{{x^4+1}} dx$
124401
How to evaluate $\int_0^{2\pi}\frac{1}{(1+a\cos {\theta})^2}\,d\theta$ without contour integration?
30459
Evaluate $\int^1_0 \log^2(1-x) \log^2(x) \, dx$
137625
Need a hint to evaluate the indefinite integral $\int\frac{e^x(2-x^2)}{(1-x)\sqrt{1-x^2}}dx$?
109790
Finding the value of $\int_0^{\pi/2} \frac{dt}{1+(\tan(x))^{\sqrt{2}}}$
58909
Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
122361
Evaluate $\int_0^1\left(\frac{1}{\ln x} + \frac{1}{1-x}\right)^2 \mathrm dx$
31964
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$