Answers edited by Luke Phillips
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Question #297a6
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How do you integrate int x^3/sqrt(64+x^2) by trigonometric substitution?
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Question #cc2a5
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What are the critical points of f(x) =1/(xe^x)-e^(2x)/x?
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Question #30055
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Question #ea9c6
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How do you solve \sin \frac { 2x + 1} { x } + \sin \frac { 2x + 1} { 3x } - 3\cos ^ { 2} \frac { 2x + 1} { 3x } = 0?
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Question #518f9
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lim_(xto1) (sinpix)/(x-1) ?
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Question #2d31f
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Evaluate the integral int \ sqrt(x-x^2)/x \ dx ?
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Question #ededb
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Integrate 1/(1+bcotx)?
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Question #5b41a
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What is the derivative of tan^2(sinx)?
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What is the purpose of the Gamma function?
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Question #23877
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If a_k in RR^+ and s = sum_(k=1)^na_k. Prove that for any n > 1 we have prod_(k=1)^n(1+a_k) < sum_(k=0)^n s^k/(k!)?
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Question #a39e8
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What is int (x^3-2x^2+6x+9 ) / (2x^2- x +3 )?
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If we were to toss a single die (singular for dice) 1000 times, how many 6s could we expect over the long run? What is the standard deviation?
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How do you use substitution to integrate x/sqrt(x+4) dx?
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How do you find lim sqrt(x^2+1)-x as x->oo?
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How to determine complex numbers that satisfy relation:abs(z)^2-2iz+2a(1+i)=0;a>0?
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Let F(x) be the cdf of the continuous-type random variable X, and assume that F(x)=0 for x<=0 and 0<F(x),1 for 0<x. Prove that if
P(X>x+y|X>x)=P(X>y), then F(x)=1-e^(-lamdax , 0<x ?
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What is the derivative of this function y=(cos^-1(4x^2))^2?
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Show that sum x/2^x = 2 summation running 0 to infinity ?