Find $\left(\frac{\,d}{\,dx}\right)^{\pi} x^{\mathrm{e}}$
43593
half-derivative of $x^2$
24974
Closed form for $\int_0^1\log\log\left(\frac{1}{x}+\sqrt{\frac{1}{x^2}-1}\right)\mathrm dx$
7388
Evaluate: $\int_0^{\pi} \ln \left( \sin \theta \right) d\theta$
121548
proof of an inequality $ \left( 1+ \frac{x}{p} \right) ^{p}$
79466
Evaluating $\int_0^1 \log \log \left(\frac{1}{x}\right) \frac{dx}{1+x^2}$
23485
Solving $\forall x \in \mathbb{R}_+^*, f'(x) = f\left(\frac1{x}\right)$
18732
How do I evaluate $\int \frac{\mathrm{d}x}{e^x + 1} $?
113514
Solving $E=\frac{1}{\sin10^\circ}-\frac{\sqrt3}{\cos10^\circ}$
27790
Evaluating $\int_0^{\large\frac{\pi}{4}} \log\left( \cos x\right) \, \mathrm{d}x $
154491
Evaluate $\int \frac{\sqrt{x^2-1}}{x} \mathrm{d}x$
2676
Finding $\frac {d(\tan \theta)}{d\theta}$
142682
Find $f(x)$ where $ f(x)+f\left(\frac{1-x}x\right)=x$
142516
Evaluating the integral, $\int_{0}^{\infty} \ln\left(1 - e^{-x}\right) \,\mathrm dx $
143368
Find the ratio of $\frac{\int_{0}^{1} \left(1-x^{50}\right)^{100} dx}{\int_{0}^{1} \left(1-x^{50}\right)^{101} dx}$
150890
Evaluating $\int_{\mathbb{R}}\frac{\exp(-x^2)}{1+x^2}\,\mathrm{d}x$
76990
Find $\lim_{x \to - \infty} \left(\frac{4^{x+2}- 2\cdot3^{-x}}{4^{-x}+2\cdot3^{x+1}}\right)$
6483
Computing $\int_{0}^{\pi}\ln\left(1-2a\cos x+a^2\right) \, dx$