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How to solve $\int_0^\pi{\frac{\cos{nx}}{5 + 4\cos{x}}}dx$?
calculus
integration
definite-integrals
Easiest way to find $\Re\int_{0}^{\pi/2} e^{e^{i\theta}} d\theta$
calculus
integration
definite-integrals
closed-form
Improper integral of sin(x)/x from zero to infinity [duplicate]
integration
improper-integrals
trigonometric-integrals
What is this symbol $\int$ called?
integration
notation
Calculate $\int _0^\infty \frac{\ln x}{(x^2+1)^2}dx$
calculus
integration
complex-analysis
definite-integrals
logarithms
Explain why $\int_0^\infty\frac{\sin{4x}}{x}\prod\limits_{k=1}^n \cos\left(\frac{x}{k}\right) dx\approx\frac{\pi}{2}$
calculus
integration
sequences-and-series
pi
trigonometric-integrals
Evaluate $\int_{0}^{\infty}\dfrac{\mathrm dx}{(e^{\pi x}+e^{-\pi x})(16+x^2)}$
integration
fourier-analysis
residue-calculus
A slightly problematic integral $\int{1/(x^4+1)^{1/4}} \, \mathrm{d}x$
calculus
integration
indefinite-integrals
Why is the Riemann integral only defined on compact sets?
real-analysis
integration
Maximum and minimum value of $\int_0^1 f(x)dx $ given $|f'(x)|<2$
calculus
integration
definite-integrals
maxima-minima
How to calculate $\int_0^{\frac{\pi}{2}}{x^2\cot x\ln\cos x\, \text{d}x}$.
calculus
integration
definite-integrals
harmonic-numbers
digamma-function
Show $\int_0^{2\pi} \exp\left(\frac{7+5 \cos x}{10+6\cos x}\right) \cos \left( \frac{\sin x}{10+6 \cos x} \right) dx = 2\pi e^{2/3}$ Real Methods
calculus
integration
Evaluate integral $\int e^{\mu (j-l)t}(1-e^{-\mu t})^{j-l-1}dt$
integration
indefinite-integrals
If $\int_1^ \infty \frac {x^3+3}{x^6(x^2+1)} \, \mathrm d x=\frac{a+b\pi}{c}$, then find $a,b,c$.
integration
definite-integrals
compute: $\int_{0}^{1}e^x(1-x)^{100}dx$
calculus
integration
definite-integrals
Solving $\int e^{kx}(f(x)+f'(x))\, dx.$
integration
definite-integrals
Solving $\int_0^1(1-u)^{(n-i)} u^i \log(-\log(1-u))^2 du$?
integration
logarithms
What is wrong with my solution? $\int \cos^2 x \tan^3x dx$
calculus
integration
indefinite-integrals
Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?
integration
logarithms
Showing that $\displaystyle\int_{-a}^{a} \frac{\sqrt{a^2-x^2}}{1+x^2}dx = \pi\left (\sqrt{a^2+1}-1\right)$.
integration
definite-integrals
complex-integration
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