How to solve: $\int\limits_{-\pi \cdot 0.5}^{\pi \cdot 0.5} \sin(x) \int\limits_{0}^{\cos(x)} e^{\sin(t)} \, dt \, dx$
74122
$ 2.28319 = 0 $ !? - How do I spot the mistake?
144811
Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
151462
Find $\int \limits_0^1 \int \limits_x^1 \arctan \bigg(\frac yx \bigg) \, \, \, dx \, \, dy$
60491
Evaluate $ \int_{25\pi/4}^{53\pi/4}\frac{1}{(1+2^{\sin x})(1+2^{\cos x})}dx $
143585
Solve the integral $\frac 1 {\sqrt {2 \pi t}}\int_{-\infty}^{\infty} x^2 e^{-\frac {x^2} {2t}}dx$
69000
Looking for closed-forms of $\int_0^{\pi/4}\ln^2(\sin x)\,dx$ and $\int_0^{\pi/4}\ln^2(\cos x)\,dx$
152336
Any hint to solve given integral $\int_0^{2{\pi}}{{d\theta}\over{a^2\cos^2\theta+b^2\sin^2\theta}}$?
21088
Prove $\int\limits_{0}^{\pi/2}\frac{dx}{1+\sin^2{(\tan{x})}}=\frac{\pi}{2\sqrt{2}}\bigl(\frac{e^2+3-2\sqrt{2}}{e^2-3+2\sqrt{2}}\bigr)$
16639
How to integrate $ \int_0^\infty \sin x \cdot x ^{-1/3} dx$ (using Gamma function)
71700
How to solve $\int_0^\pi{\frac{\cos{nx}}{5 + 4\cos{x}}}dx$?
99033
How to solve the definite integral $\int_{-4}^{-2}e^{-x}\,dx$?
157364
$\int_{-2}^{2} \sin(x^5)e^{(x^8\sin(x^4))} dx$
139297
Find the sign of $\int_{0}^{2 \pi}\frac{\sin x}{x} dx$
149913
Evaluate $\iint dy\,dx;\frac{\pi}{4}\leq\theta \leq\frac{3\pi}{4};0\leq r\leq2$
104138
How to integrate $\int\limits_0^\infty e^{-a x^2}\cos(b x) dx$ where $a>0$
67158
Solve $y'-\int_0^xy(t)dt=2$
67326
How to solve $ \int \limits _0 ^{2\pi} \dfrac{dx}{(\alpha +\beta\cos x)^2} $