Trouble finding the solution of $\int_0^{\pi/2}\sin^mx\cdot\cos^nx\,dx$ from the recurrence relation
37040
Prove reduction formula for $\int \cos^n (x)\sin^m (x) \, dx$
104319
Real solution of $(\cos x -\sin x)\cdot \bigg(2\tan x+\frac{1}{\cos x}\bigg)+2=0.$
91196
Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$
4031
What is the solution to the following recurrence relation with square root: $T(n)=T (\sqrt{n}) + 1$?
67326
How to solve $ \int \limits _0 ^{2\pi} \dfrac{dx}{(\alpha +\beta\cos x)^2} $
69000
Looking for closed-forms of $\int_0^{\pi/4}\ln^2(\sin x)\,dx$ and $\int_0^{\pi/4}\ln^2(\cos x)\,dx$
141516
Solve $\int_0^{+\infty} \Big(\frac{\sin t}{t}\Big)^2 \ dt$
49306
Calculation of $\int_0^{\pi} \frac{\sin^2 x}{a^2+b^2-2ab \cos x}\mathrm dx$
121248
How to solve this recurrence $T(n) = 2T(n/2) + n\log n$
158279
$\int_0^{\pi/2}\ln(\sin(x))$?
36413
Recurrence relation (linear, second-order, constant coefficients)
125523
How to find $\int_{0}^{\pi/2} \log ({1+\cos x}) dx$ using real-variable methods?
81371
Solving recurrence $T(n) = T(\lceil n/2 \rceil) + T(\lfloor n/2 \rfloor) + \Theta(n)$
3068
Evaluating $\int_0^\infty \sin x^2\, dx$ with real methods?
103598
Showing that $\int_0^1 \log(\sin \pi x)dx=-\log2$
102156
Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
6571
A Challenging Integral $\int_0^{\frac{\pi}{2}}\log \left( x^2+\log^2(\cos x)\right)dx$