List questions from calculus

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Solution by differential equation by Clairaut Form

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How did we determine degree of given homogeneous function?

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Trouble computing $\int_0^\pi e^{ix} dx$

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Trying to define the set of alternate derivatives associated with the set of periodic functions with some rational number period

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Integrate $\int \frac {x^4}{\sqrt {x^2-9}} \,dx$

Published on 08 Apr 2026 - 21:08

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Example of differential equation

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Why does the fact that $f^{'}(t)$ being continuous insure that $\int_{0}^{T}f^{'}(t)^2 dt$ is finite

Published on 15 Jan 2018 - 10:10

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uniform or dominated convergence of sequence of functions which are bounded

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Differentiability of the function:$g(x,y)=f(\sqrt{x^2+y^2})$

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Finding: $\lim\limits_{m\to\infty}\left(\sqrt[m]{m+1}\cdot\sqrt[m^2+m]{\binom{m}{1}\binom{m}{2}\cdots\binom{m}{m}}\right) .$

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Integral of $\frac{\sin^2(x-y)}{(x-y)^2}$

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Find the velocity and position of the particle as function of t?

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How to compute $\int_{0}^{1}\frac{x\arctan x}{1+(x+\frac{1}{x})\arctan x}dx$

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What is $x=5$ called??

Published on 08 Apr 2026 - 20:50

List Question

The set of sums of unit complex numbers

Solution by differential equation by Clairaut Form

How did we determine degree of given homogeneous function?

Trouble computing $\int_0^\pi e^{ix} dx$

Trying to define the set of alternate derivatives associated with the set of periodic functions with some rational number period

Integrate $\int \frac {x^4}{\sqrt {x^2-9}} \,dx$

Example of differential equation

Why does the fact that $f^{'}(t)$ being continuous insure that $\int_{0}^{T}f^{'}(t)^2 dt$ is finite

uniform or dominated convergence of sequence of functions which are bounded

Differentiability of the function:$g(x,y)=f(\sqrt{x^2+y^2})$

Finding: $\lim\limits_{m\to\infty}\left(\sqrt[m]{m+1}\cdot\sqrt[m^2+m]{\binom{m}{1}\binom{m}{2}\cdots\binom{m}{m}}\right) .$

Integral of $\frac{\sin^2(x-y)}{(x-y)^2}$

Find the velocity and position of the particle as function of t?

How to compute $\int_{0}^{1}\frac{x\arctan x}{1+(x+\frac{1}{x})\arctan x}dx$

What is $x=5$ called??

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