How do I evaluate $\int_{-R}^{R} \sqrt{R^2-x^2}\,dx$ using the change of variables $x = R\sin(w)$?
118586
Confused About Trigonometric Substitution
23685
Integrating $\int \sin^n{x} \ dx$
153283
Trigonometric Integral Using Residue Theorem
177
How can I calculate $\int^{\infty}_{-\infty}\Phi\left(\frac{w-a}{b}\right)\phi(w)\,\mathrm dw$
61740
Evaluate the integration : $\int\sqrt{\frac{(1-\sin x)(2-\sin x)}{(1+\sin x)(2+\sin x)}}dx$
156485
How to evaluate $\int_{0}^{2\pi}e^{\cos \theta}\cos( \sin \theta) d\theta$?
106515
Use a rectangular contour to evaluate the integral
96436
About integrating $\sin^2 x$ by parts
81533
Integrating $\int_1^2 \int_0^ \sqrt{2x-x^2} \frac{1}{((x^2+y^2)^2} dydx $ in polar coordinates
81621
How to evaluate the integral $\int_{0}^{\infty}\frac{\cos {(ax)}-\cos{(b x)}}{x^2 }dx$?
49203
Evaluating $\int \sqrt{1 + t^2} dt$?
24545
A doubt regarding change of variables in Double Integrals.
16712
Evaluate $\int_{-\pi/4}^{\pi/4}(\cos(t)+\sqrt{1+t^2}\cos(t)^3\sin (t)^3)dt$
117113
Integration of $x^2 \sin(x)$ by parts
84826
Evaluating $\int_0^{2 \pi} e^{\cos x} \cos (nx - \sin x) \,dx$ using complex analysis
23855
How to evaluate $\int\int_SF.dS$ where $F=(xz,yz,x^2+y^2)$?
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$