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94 Answers

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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?

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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

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44 Questions

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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

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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

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