List questions from integration

Published on 29 Apr 2026 - 12:46

226

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Consider the region R bounded by $y = \sin x $ and $y$ =$\frac{4x^2}{\pi^2}$. Find the area of R.

Published on 16 Apr 2026 - 14:48

68

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Integral of the form $\frac{dx}{(ax^2 + bx + c)\sqrt{px +q}}$

Published on 15 Apr 2026 - 16:30

536

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Dominated convergence for Lebesgue-Stieltjes integral

Published on 12 Apr 2026 - 20:51

186

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Integration of $\frac{1}{1+x^2+x^4+\cdots +x^{2m}}$

Published on 30 Apr 2026 - 6:51

65

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Solve the improper integral $\int_{-\infty}^{+\infty}{\frac{1}{|x^2-1|^\alpha}dx}$ at the variation of the value of $\alpha$

Published on 16 Apr 2026 - 22:58

317

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Compute $\int_{|z|=1}\overline z^2$ $\sin z$ $\mathrm dz$

Published on 16 Apr 2026 - 7:47

30

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Find the points where $g(x)$ touches the x axis

Published on 15 Apr 2026 - 19:38

1.8k

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Area under curve and its inverse

Published on 15 Apr 2026 - 20:18

837

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Integration of $\sec^4 x$

Published on 08 Apr 2026 - 17:05

3.3k

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A tank, shaped like a cone has a height of 15 meters and a base radius of 6 meters. The cone is standing up, with the circular part as its base.

Published on 14 Apr 2026 - 12:57

2.3k

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Can arc length be a straight line?

Published on 16 Apr 2026 - 15:07

538

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path in polar coordinates

Published on 11 Apr 2026 - 10:01

134

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Proof of same two-parameter family curves in $\mathbb R^3$.

Published on 11 Apr 2026 - 6:03

190

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How to show that: $\int_{0}^{\pi/2}\left(\frac{1}{\ln\tan x}+\frac{2-\sqrt[3]{\tan^4x}}{1-\tan x}\right)dx=\pi?$

Published on 15 Apr 2026 - 17:49

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Hermite Polynomial Expansion

Consider the region R bounded by $y = \sin x $ and $y$ =$\frac{4x^2}{\pi^2}$. Find the area of R.

Integral of the form $\frac{dx}{(ax^2 + bx + c)\sqrt{px +q}}$

Dominated convergence for Lebesgue-Stieltjes integral

Integration of $\frac{1}{1+x^2+x^4+\cdots +x^{2m}}$

Solve the improper integral $\int_{-\infty}^{+\infty}{\frac{1}{|x^2-1|^\alpha}dx}$ at the variation of the value of $\alpha$

Compute $\int_{|z|=1}\overline z^2$ $\sin z$ $\mathrm dz$

Find the points where $g(x)$ touches the x axis

Area under curve and its inverse

Integration of $\sec^4 x$

A tank, shaped like a cone has a height of 15 meters and a base radius of 6 meters. The cone is standing up, with the circular part as its base.

Can arc length be a straight line?

path in polar coordinates

Proof of same two-parameter family curves in $\mathbb R^3$.

How to show that: $\int_{0}^{\pi/2}\left(\frac{1}{\ln\tan x}+\frac{2-\sqrt[3]{\tan^4x}}{1-\tan x}\right)dx=\pi?$

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