Mercy
Reputation
11,666
Top tag
Next privilege 15,000 Rep.
Protect questions
 1d comment for which values of $\alpha \in \mathbb R$ is $f$ integrable? When using polar coordinates, there's a factor $r$ that comes with the Jacobian, so instead of integrating $f(r\cos\theta,r\sin\theta)$ you should be integrating $rf(r\cos\theta,r\sin\theta)$. Sep 1 answered How to calculate $\lim_{x\to0}\frac{1}{x}\left(\sqrt[3]{\frac{1-\sqrt{1-x}}{\sqrt{1+x}-1}}-1\right)$ Sep 1 revised Consider $F(x,y)=f(x+3y,2x-y)$… deleted 66 characters in body Sep 1 comment Consider $F(x,y)=f(x+3y,2x-y)$… @Willyf Then substitute $x=0, y=0$, what do you get? Sep 1 revised Consider $F(x,y)=f(x+3y,2x-y)$… added 1 character in body Sep 1 answered Consider $F(x,y)=f(x+3y,2x-y)$… Aug 27 answered Calculus $\int_0^{+\infty}\frac{\sin^2x}x\mathrm dx$ Aug 19 revised $E$ is a certain subspace of $\mathbb{R}[x]$. Is the set $\{x − 2, (x − 2)^2, (x − 2)^3\}$ a basis of $E$? added 28 characters in body; edited title Aug 17 reviewed Edit Equation of curve $x=a(\theta- \sin\theta), y=a(1-\cos\theta)$ for varying $\theta$ Aug 17 revised Equation of curve $x=a(\theta- \sin\theta), y=a(1-\cos\theta)$ for varying $\theta$ improved formatting Aug 17 revised Equation of curve $x=a(\theta- \sin\theta), y=a(1-\cos\theta)$ for varying $\theta$ deleted 24 characters in body; edited title Aug 17 answered Lie bracket in coordinates Aug 17 comment Integrate $\int^{\pi }_{0}\frac{x}{2-\tan ^{2}\left( x\right) } dx$ @user257567 What do you get when you use the constraint $x \in (0,\pi)$? Aug 17 answered For all sets $A$, $B$, and $C$, if $A-B \subseteq A - C$ then $A \cap C = \varnothing$ Aug 16 comment Integrate $\int^{\pi }_{0}\frac{x}{2-\tan ^{2}\left( x\right) } dx$ @user257567 Find the solutions of the equation $2-\tan^2(x)=0$ for $x\in (0,\pi)$$. Aug 16 comment Integrate$\int^{\pi }_{0}\frac{x}{2-\tan ^{2}\left( x\right) } dx $Your function is undefined at$\arctan\sqrt2$and$\pi-\arctan\sqrt2$so you can't use this method. Aug 15 answered Integrate$\int^{\pi }_{0}\frac{x}{2-\tan ^{2}\left( x\right) } dx $Aug 15 revised Find$\sum_{n=1}^{\infty}a_nx^n$given$a_0=3, \ 3na_n+3(n-1)a_{n-1}=2a_{n-1}$added 114 characters in body Aug 15 answered Convergence of improper integral$\int_{0}^{\frac{\pi}{6}}\dfrac{x}{\sqrt{1-2\sin x}}dx$Aug 15 answered Find$\sum_{n=1}^{\infty}a_nx^n$given$a_0=3, \ 3na_n+3(n-1)a_{n-1}=2a_{n-1}\$