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Seconde Derivatives of an integral [on hold]

$$ g(x) = \int_{-\infty}^{x^2/2} e^{-(x^2+1)t^2}dt\,. $$ Trouble calculating the first and the second derivative of this function.
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Poisson probability [closed]

Suppose that on the summer evening, shooting stars are observed at a poisson rate of one every 12 minutes. What is the probability that the time between two consecutive shooting stars is within 30 ...
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Solution for Euler's Formula [closed]

Inductive Proof of Euler's Formula v−e+r=2 I found solution here http://math.stackexchange.com/questions/252015/inductive-proof-of-eulers-formula-v-er-2 but I want respective diagram for each case.