How to calculate this integral involving trigonometric expression: $\int\frac{\ x^2+20}{{(x\sin x+5\cos x)}^2}\mathrm{d}x$
64417
Integration of $\int \frac{x^2+20}{(x \sin x+5 \cos x)^2}dx$
153283
Trigonometric Integral Using Residue Theorem
61443
So close yet so far Finding $\int \frac {\sec x \tan x}{3x+5} dx$
84683
integrate $dx/(a^2 \cos^2x+b^2 \sin^2x)^2$
51489
Simplifying the integral $\int\frac{dx}{(3 + 2\sin x - \cos x)}$ by an easy approach
1416
closed form of $\int_{0}^{2\pi}\frac{dx}{(a^2\cos^2x+b^2\sin^2x)^n}$
149866
Evaluating $\int_0^{2\pi} \frac {\cos(\theta)}{5-3\cos(\theta)} \, d\theta$ using residue theorem
6852
Integral of $\int \frac{x \sin{x} \cos{x}}{(a^2 \sin^2 x + b^2 \cos^2 x)^2} dx $
74822
How to evaluate $\int_{0}^{\pi }\theta \ln\tan\frac{\theta }{2} \, \mathrm{d}\theta$
138230
Evaluate $ \int^{\frac{\pi}{2}}_0 \frac{\sin x}{\sin x+\cos x}\,dx $ using substitution $t=\frac{\pi}{2}-x$
29322
Evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\sin^2 nx}{\sin x} \text{d}x$
15324
A sine integral $\int_0^{\infty} \left(\frac{\sin x }{x }\right)^n\,\mathrm{d}x$
126054
calculate $\int_o^\pi \frac{x\sin x}{1+\cos^2x} \,dx$
24182
Evaluating $\int_{0}^{\infty}\frac{\sin^{2n+1}x}{x}\mathrm{d}x$
16800
Integrating $\int_0^{2\pi} \frac1{a\cos(t)+b\sin(t)+c}dt$ with $\sqrt{a^2+b^2}=1<c$
151563
Evaluate: $\int_{0}^{\pi}\frac{\cos 2017x}{5-4\cos x}dx$
140386
Integrate $\int {\dfrac{x^2+\left(n-1\right)n}{\left(x\sin x+n\cos x\right)^2}}dx $