List questions from integration

Published on 16 Apr 2026 - 9:22

52

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Find the volume of the solid bounded by $z=x^2 + y^2$, $x+z=0$ - correctness of solution

Published on 16 Apr 2026 - 13:15

44

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General form for the integral of $ab\over c$

Published on 14 Apr 2026 - 10:09

908

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integral of monotonic increasing function

Published on 10 May 2026 - 22:31

76

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$\frac{1}{2 \pi i} \int_{|z|=4} z \frac{f'(z)}{f(z)}dz$

Published on 11 May 2026 - 5:07

51

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$ \varphi(x_1, \dots , x_n) = (c_1x_1, \dots, c_nx_n)$. Then, $\mu(\varphi(A)) = |c_1\dots c_n|\mu(A)$, where $\mu$ is the Lebesgue measure

Published on 15 May 2026 - 19:14

535

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Area between two spirals

Published on 28 Apr 2026 - 9:50

69

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delta dirac integration

Published on 10 May 2026 - 23:30

84

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Prove the inequality of integral

Published on 12 Apr 2026 - 8:39

645

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integral $\int \frac{1-a\cos x}{1+a^2-2a\cos x}dx$

Published on 17 Apr 2026 - 11:35

830

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Same integration with 2 different answers?

Published on 14 Apr 2026 - 12:31

457

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Show the limit of the characteristic function is zero a.e.

Published on 15 Apr 2026 - 6:13

305

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Integral $I_m=\int_0^1 \frac{x^m-x}{\sin \pi x} \:dx $ expressed as finite sum of $\frac{r_n \zeta(2n+1)}{\pi^{2n+1}}$

Published on 14 May 2026 - 9:03

45

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Integration question with square root and cubic function

Published on 12 Apr 2026 - 11:48

113

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General solution of $\frac{dy}{dx}+y=1$, $(y\neq 1)$

Published on 14 Apr 2026 - 3:08

List Question

Definite integral $\int_0^{\pi/4}\log\left(\tan{x}\right)\ dx$

Find the volume of the solid bounded by $z=x^2 + y^2$, $x+z=0$ - correctness of solution

General form for the integral of $ab\over c$

integral of monotonic increasing function

$\frac{1}{2 \pi i} \int_{|z|=4} z \frac{f'(z)}{f(z)}dz$

$ \varphi(x_1, \dots , x_n) = (c_1x_1, \dots, c_nx_n)$. Then, $\mu(\varphi(A)) = |c_1\dots c_n|\mu(A)$, where $\mu$ is the Lebesgue measure

Area between two spirals

delta dirac integration

Prove the inequality of integral

integral $\int \frac{1-a\cos x}{1+a^2-2a\cos x}dx$

Same integration with 2 different answers?

Show the limit of the characteristic function is zero a.e.

Integral $I_m=\int_0^1 \frac{x^m-x}{\sin \pi x} \:dx $ expressed as finite sum of $\frac{r_n \zeta(2n+1)}{\pi^{2n+1}}$

Integration question with square root and cubic function

General solution of $\frac{dy}{dx}+y=1$, $(y\neq 1)$

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