User Nosrati - Mathematics Stack Exchange

Nosrati

Member for 9 years, 10 months
Last seen this week

Iran

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24

Proof of this integration shortcut: $\int_a^b \frac{dx}{\sqrt{(x-a)(b-x)}}=\pi$

Jul 16, 2018

16

Evaluating the integral $\int_0^{\infty} \frac{\sin(x)}{\sinh(x)}\,dx$

Nov 30, 2017

14

Given $\sin(t) + \cos(t) = a$, derive an expression in '$a$' for $(\cos(t))^4 + (\sin(t))^4$

Sep 5, 2018

13

How to find indicial equation

Oct 29, 2017

12

Two-variable limit of $\lim_{(x,y)\to(0,0)}\frac{\sin(x^4+y^4)}{x^2+y^2}$

Oct 8, 2017

Questions

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7

What's the series of $\sum_{n\geqslant1} \dfrac{\zeta(2n)}{n2^{2n}}$.

Jul 20, 2018

6

Problem with $\int \frac{\sin^{3}x+\cos^{3}x}{\sin{x}\cos{x}} \text{dx}$

Feb 11, 2017

5

Is $\frac1p(\sin^px+\cos^px)-\frac1q(\sin^qx+\cos^qx)$ constant for some reals $p$ and $q$.

Mar 9, 2017

4

What's a closed form for $\sum_{k=0}^n\frac{1}{k+1}\sum_{r=0\\r~is~odd}^k(-1)^r{k\choose r}r^n$

Jan 11, 2017

3

Solve integral $\int_1^2x\,d[x^2]$ with floor differential.

Feb 12, 2017

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calculus

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integration

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limits

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complex-analysis

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ordinary-differential-equations

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+10

What is the Fourier transform of $f(x) = x^2 e^{-x^2}$?

+10

Solve: $xdx+ydy=\frac{xdy-ydx}{x^2+y^2}$

+30

Evaluating the integral $\int_0^{\infty} \frac{\sin(x)}{\sinh(x)}\,dx$

+10

Find limit $\lim_{z\to 0}\frac{\bar z}{z}$

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Sep 16, 2017
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Sep 14, 2018
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Jan 29, 2021

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integration

Oct 22, 2018
calculus

Jul 28, 2018
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Nov 9, 2017

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complex-numbers

Sep 10, 2018
multivariable-calculus

Dec 10, 2021
ordinary-differential-equations

Jan 14, 2019

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