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New posts in integration
Integrability of Derivative of a Continuous Function
calculus
real-analysis
integration
derivatives
lebesgue-integral
Evaluating $\frac{1}{\pi} \int_{0}^{\pi} e^{2\cos{\theta}} d\theta$
complex-analysis
integration
definite-integrals
Let $A=\pi^2\int_{0}^{1}\frac{\sin(\pi x)}{1 + \sin(\pi x)}dx$ and $B=\int_{0}^{\pi}\frac{x\sin( x)}{1 + \sin( x)}dx$. Find $\frac{A}{B}$.
calculus
integration
definite-integrals
contest-math
Show that $\int_{0}^{1} \frac{\ln|x+1|}{x^2+1}dx= \frac\pi8 \ln2$ using a suitable substitution
calculus
integration
definite-integrals
How to evaluate the following interesting integral?
integration
definite-integrals
Can you help me solve this triple integral?
integration
multivariable-calculus
multiple-integral
Finding the closed form of $\int_0^1 \frac{(1-x+x\log x)\operatorname{Li}_3(x)}{x(x-1) \log x} \ dx$
calculus
real-analysis
integration
definite-integrals
improper-integrals
Find the indefinite integral $\frac{x\sin x}{1+\cos^2 x}$
calculus
integration
How do I use Browserify with external dependencies?
javascript
jquery
performance
integration
browserify
How to prove that $\int_{0}^{\infty}{\sin^4(x)\ln(x)}\cdot{\mathrm dx\over x^2}={\pi\over 4}\cdot(1-\gamma)?$
calculus
integration
improper-integrals
Compute $\int_0^1 \frac{\mathrm{d}x}{\sqrt{1-x^4}} \cdot \int_0^1 \frac{x^2\mathrm{d}x}{\sqrt{1-x^4}}$
calculus
integration
definite-integrals
Seeking for help to find a formula for $\int_{0}^{\pi} \frac{d x}{(a-\cos x)^{n}}$, where $a>1.$
integration
trigonometry
induction
Evaluating $ \lim_{n\rightarrow\infty} n \int_{0}^{1} \frac{{x}^{n-2}}{{x}^{2n}+x^n+1} \mbox {d}x$
calculus
real-analysis
integration
limits
Algebraic way to change limits of integration of a double integral
multivariable-calculus
integration
Logarithm integral with golden ratio $\int^1_0 \frac{\log(1+\phi x^2)}{1+x}\, dx$
calculus
real-analysis
integration
Why is Simpson's rule exact for cubics?
approximation
calculus
integration
Formulae for Catalan's constant.
integration
definite-integrals
catalans-constant
Show $\int_0^\infty f\left(x+\frac{1}{x}\right)\,\frac{\ln x}{x}\,dx=0$ if $f(x)$ is a bounded non-negative function
definite-integrals
improper-integrals
calculus
real-analysis
integration
Improper integrals with singularities on the REAL AXIS (Complex Variable)
integration
complex-analysis
improper-integrals
contour-integration
complex-integration
Does continuity always imply integrability?
real-analysis
integration
continuity
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