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answered Integral of $\int_{\mathbb{R}}e^{-\frac{x^{2}}{2}}\left(\cos\left(\pi nx\right)\right)dx$
Feb
6
answered Trigonometric solution for $\int_{0}^{2 \pi} \sin^n (x) \cos^m (x) dx $?
Feb
6
answered How do I prove $\frac 34\geq \frac{1}{n+1}+\frac {1}{n+2}+\frac{1}{n+3}+\cdots+\frac{1}{n+n}$
Feb
6
answered Improper Integral $\int_0^1\frac{\arcsin^2(x^2)}{\sqrt{1-x^2}}dx$
Feb
6
comment Integration of $\frac{x^2}{2\left(e^x+1\right)}$
The integral over $\mathbb{R}^+$ equals $\frac{3}{4}\zeta(3)$ so I doubt you may find a nice primitive.
Feb
6
revised Prove that $\frac{1}{n+1} + \frac{1}{n+3}+\cdots+\frac{1}{3n-1}>\frac{1}{2}$
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Feb
6
answered Prove that $\frac{1}{n+1} + \frac{1}{n+3}+\cdots+\frac{1}{3n-1}>\frac{1}{2}$
Feb
1
comment A definite integral in Calculus I
(+1) Always so stylish :)
Jan
31
answered Prove that there doesn't exist prime numbers $a, b, c$ s.t. $a^2=b^2+c^3$
Jan
31
answered Evaluating $\lim_{n\to\infty}{n\left(\ln(n+2)-\ln n\right)}$
Jan
31
answered Construct a function such that the improper integral $\int_0^1 fdx$ exists but $\int_0^1 |f|dx$ does not.
Jan
31
answered A result of equation $y^2+1=x^p$ where $p$ is odd prime.
Jan
31
answered If $ A=\frac{1}{2\sqrt{1}}+\frac{1}{3\sqrt{2}}+\frac{1}{4\sqrt{3}}+…+\frac{1}{100\sqrt{99}}\;,$ Then $\lfloor A \rfloor =$
Jan
31
comment How to minimize $ab + bc + ca$ given $a^2 + b^2 + c^2 = 1$?
@MarianoSuárez-Alvarez: You are just finding the stationary points of a quadratic form over a sphere, hence it is enough to compute the eigenvalues of the symmetric matrix associated with your quadratic form to solve the problem.
Jan
30
revised Upper bound on integral: $\int_1^\infty \frac{dx}{\sqrt{x^3-1}} < 4$
added 256 characters in body
Jan
30
revised Upper bound on integral: $\int_1^\infty \frac{dx}{\sqrt{x^3-1}} < 4$
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Jan
30
revised A definite integral in Calculus I
edited body
Jan
30
revised A definite integral in Calculus I
added 190 characters in body
Jan
30
answered A definite integral in Calculus I
Jan
29
revised Upper bound on integral: $\int_1^\infty \frac{dx}{\sqrt{x^3-1}} < 4$
added 188 characters in body