Deriving the reduction formula for $\int\cos^n x\,\mathrm{d}x$
12653
Prove $\int\cos^n x \ dx = \frac{1}n \cos^{n-1}x \sin x + \frac{n-1}{n}\int\cos^{n-2} x \ dx$
113970
Compute $\int_cd\omega$ and $\int_{\partial c}\omega$
109316
How to calculate $\int_0^{\pi/2} \sin^a x \cos^b x \,\mathrm{d} x$
149866
Evaluating $\int_0^{2\pi} \frac {\cos(\theta)}{5-3\cos(\theta)} \, d\theta$ using residue theorem
84826
Evaluating $\int_0^{2 \pi} e^{\cos x} \cos (nx - \sin x) \,dx$ using complex analysis
47923
For $n\in\mathbb{N}$, evaluate $\int_0^n \cos(2\pi \lfloor x\rfloor\{x\})dx$
12859
Find $\int \frac{x^3}{x^2-1} \:\mathrm{d}x$
117602
How to evaluate $\int \cot^2(x) \;\mathrm dx$?
101045
Is there a closed form for the integral $\int_0^1 x^n \log^m (1-x) \, {\rm d}x$?
127284
Closed form of $\int_0^{\pi/2} \frac{\arctan^2 (\sin^2 \theta)}{\sin^2 \theta}\,d\theta$
154491
Evaluate $\int \frac{\sqrt{x^2-1}}{x} \mathrm{d}x$
69478
Deducing a $\cos (kx)$ summation from the $e^{ikx}$ summation
132448
Prove that: $\int_0^{n\pi}f(\cos^2(x))\,dx=n\int_0^{\pi}f(\cos^2(x))\,dx?$
11182
Derivation of the Partial Derangement (Rencontres numbers) formula
49984
Valid justification for algebraic manipulation of $\mathrm{d}y/\mathrm{d}x$?
36457
Closed form for $\int \frac{1}{\sin^nx +\cos^mx}dx$
65700
Deriving Birkhoff's Theorem