List questions from multiple-integral | MathQa

Double Integral $\int\limits_0^1\!\!\int\limits_0^1\frac{(xy)^s}{\sqrt{-\log(xy)}}\,dx\,dy$

Published on 12 Jan 2025 - 9:33

Double Integral $\iint\limits_Se^{x+y}\,dx\,dy$ where $S=\{(x,y):|x|+|y|\le1\}$

Published on 12 Jan 2025 - 9:33

To find the volume of a certain solid cone

Published on 12 Jan 2025 - 9:33

Double Integral with a Delta Function

Published on 12 Jan 2025 - 9:33

Is it true that $\iint_{x^2+y^2 \le 1} f(ax+by+c) dx dy=2 \int_{-1}^1 \sqrt{1-u^2}f(u\sqrt{a^2+b^2} +c)du $?

Published on 12 Jan 2025 - 9:33

Is $\int_0^2 [\int_x^ {\sqrt 3x} f(\sqrt{x^2+y^2})dy]dx=\int_{\pi /4}^{\pi /3}[\int_0^{2\sec \theta}rf(r)dr]d\theta$?

Published on 12 Jan 2025 - 9:33

How to compute the area of the portion of a paraboloid cut off by a plane?

Published on 12 Jan 2025 - 9:33

How to compute the area of that portion of the conical surface $x^2+y^2=z^2$ which lies between the two planes $z=0$ and $x+2z=3$?

Published on 12 Jan 2025 - 9:33

Another way to evaluate $\int_0^{\infty} x^2 e^{-x^2}dx$

Published on 12 Jan 2025 - 9:33

How to show that $\int_0^1[\int_{1-x}^{\sqrt{1-x^2}} f(x,y)dy]dx=\int_0^{\pi /2}[\int_{1/(\cos t+\sin t)}^1f(r\cos t,r\sin t)rdr]dt$?

Published on 12 Jan 2025 - 9:33