# experimentX

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 14 Calculus proof for the area of a circle 11 How to compute $\sqrt{i + 1}$ 9 What's the formula of this sequence? 8 Showing that $\int_{0}^{\pi/2}\frac{1}{\sqrt{\sin{x}}}\;{dx}=\int_{0}^{\pi/2}\frac{2}{\sqrt{2-\sin^2{x}}}\;{dx}?$ 7 Sum of n different positive integers is less than 100. What is the greatest possible value for n?

# 3,518 Reputation

 +5 how to show that the compactness of set implies closedness? +25 Prove $\int_2^\infty{\frac{\ln(t)}{t^{3/2}}},\mathrm{d}t$ converges +10 Does $\sum_{n=1}^\infty(-1)^{n}\frac{n^n}{n!}$ converge or diverge +15 Evalute this integral using Green's Thereom

# 44 Questions

 18 Evaluate:: $2 \sum_{n=1}^\infty \frac{(-1)^{n+1}}{n+1}\left( 1 + \frac12 +\cdots + \frac 1n\right)$ 10 How to solve an exponential equation with two different bases: $3^x - 2^x = 5$ 8 Evaluate: $\int_{0}^\infty e^{-x^2} \cos^n(x) dx$ 7 how to find this limit $\lim_{x\rightarrow 0} \frac{\sin x^2}{ \ln ( \cos x^2 \cos x + \sin x^2 \sin x)} = -2$ without using L'Hôpital's rule 6 Curl of a vector in spherical coordinates

# 60 Tags

 67 calculus × 37 25 real-analysis × 15 50 limit × 23 24 integration × 11 46 sequences-and-series × 16 14 algebra-precalculus × 9 38 homework × 35 14 complex-numbers × 3 30 integral × 19 14 circle

# 16 Accounts

 Stack Overflow 6,300 rep 32963 Mathematics 3,518 rep 724 Ask Ubuntu 465 rep 1719 Physics 369 rep 213 Mathematica 240 rep 17