Can't calculate the integral $\int_0^{\pi/2}\ln(a^2\cos^2x+b^2\sin^2x)\,dx$
135519
How to approach solving $\int_0^{\pi/2} \ln(a^2 \cos^2 x +b^2 \sin^2 x ) dx$
118800
Calculating $\int_0^\pi \log(1-2a\cos (x)+a^2)\,dx$
24022
Compute $\int _0 ^{2\pi} (\sum_{n=1}^\infty \frac {\cos(nx)}{2^n})^2 dx$
63137
Problem with Indefinite Integral $\int\frac {\cos^4x}{\sin^3x} dx$
130668
Evaluating the integral with trigonometric integrand
154067
Not sure how to go about solving this integral
106587
Calculation of an integral with a Bessel function
150809
Compute $ \int_0^1\frac{\ln^2(1+x)}{1+x^2}\, dx$
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
41447
tough integral involving $\sin(x^2)$ and $\sinh^2 (x)$
8289
Hints on calculating the integral $\int_0^1\frac{x^{19}-1}{\ln x}\,dx$
86857
Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
6571
A Challenging Integral $\int_0^{\frac{\pi}{2}}\log \left( x^2+\log^2(\cos x)\right)dx$
41416
Integrating $ \int_2^4 \frac{ \sqrt{\ln(9-x)} }{ \sqrt{\ln(9-x)}+\sqrt{\ln(x+3)} } dx. $
91333
How to find $\int_{0}^{1}\dfrac{\ln^2{x}\ln^2{(1-x)}}{2-x}dx$
109316
How to calculate $\int_0^{\pi/2} \sin^a x \cos^b x \,\mathrm{d} x$
67326
How to solve $ \int \limits _0 ^{2\pi} \dfrac{dx}{(\alpha +\beta\cos x)^2} $