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New posts in multiple-integral
Double Integral $\int\limits_0^a\int\limits_0^a\frac{dx\,dy}{(x^2+y^2+a^2)^\frac32}$
calculus
integration
multivariable-calculus
definite-integrals
multiple-integral
Can you help me solve this triple integral?
integration
multivariable-calculus
multiple-integral
Evaluate the volume bounded by $z=1-x^2-y^2$ and $z=1-y.$
integration
analysis
multivariable-calculus
multiple-integral
Equating the integrals of 1/(1-xy) and 2/(1+xy) by elementary calculus?
riemann-zeta
polylogarithm
multiple-integral
Double integral in polar coordinates (trouble with boundaries)
multivariable-calculus
polar-coordinates
multiple-integral
Why the answer for double integral is coming as zero?
multivariable-calculus
definite-integrals
multiple-integral
Evaluation and generalisation of $\int_0^\infty\int_0^\infty\sin y\frac{\operatorname{gd}(xy)}{\cosh(xy)}\mathrm dx\mathrm dy=\frac{\pi^3}{16}$
integration
trigonometry
improper-integrals
closed-form
multiple-integral
Multiplying two integrals becomes a double integral?
integration
multivariable-calculus
improper-integrals
multiple-integral
Does order of integration matter, while integrating over a cone?
integration
multivariable-calculus
definite-integrals
multiple-integral
cylindrical-coordinates
Looking for where I went wrong: Finding the volume of a solid that lies within both a cylinder and sphere
calculus
integration
multivariable-calculus
volume
multiple-integral
Double Integral $\int\limits_0^1\!\!\int\limits_0^1\frac{(xy)^s}{\sqrt{-\log(xy)}}\,dx\,dy$
integration
multivariable-calculus
definite-integrals
multiple-integral
bounds-of-integration
Find closed form for quadruple integral
integration
multivariable-calculus
definite-integrals
multiple-integral
Evaluate $\iiint_{[0,1]^3}\frac{dx\,dy\,dz}{(1+x^2+y^2+z^2)^2}$
integration
multivariable-calculus
definite-integrals
multiple-integral
A difficult double integral $\int_{0}^{1}\int_{0}^{1}\frac{x\ln x \ln y }{1-xy}\frac{dxdy}{\ln(xy)}$
calculus
integration
definite-integrals
multiple-integral
Volume of a body bounded by a surface.
real-analysis
integration
multivariable-calculus
volume
multiple-integral
Volumes using triple integration
multivariable-calculus
volume
multiple-integral
Prove $\int_{0}^{\pi/2} \int_{0}^{\pi/2} \frac{\theta\cot\theta-\varphi\cot\varphi}{\cos\theta-\cos\varphi} \text{d}\varphi\text{d}\theta = \pi\ln2$
calculus
multiple-integral
Integrate $\frac{R}{4 \pi^2}\int_{-\pi}^{\pi}\int_{-\pi}^{\pi} \frac{1-\cos(mx+ny)}{2-(\cos x + \cos y)} dx dy $
integration
definite-integrals
multiple-integral
$\lim_{n\to\infty} \underbrace{\int_{0}^{1}\cdots \int_{0}^{1}}_{n}\frac{x_1^{505}+\cdots +x_n^{505}}{x_1^{2020}+\cdots +x_n^{2020}}dx_1\cdots dx_n$ [duplicate]
calculus
integration
multiple-integral
iterated-integrals
Integrate $e^{\frac{x-y}{x+y}}$ over the triangle bounded by $x=0$, $y=0$, and $y=1-x$
integration
substitution
multiple-integral
change-of-variable
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