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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...
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2nd/3ways: trig integral ∫sec(x) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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Review: Linear form, Quadratic form & Bilinear form
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'
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Variance measured in the squares of the units for the observations.
Calculus: Find nth derivative of log(ax+b)
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2nd/2ways: Taylor series of sin(x)
trig Show 1/(1-sin(x)) + 1/(1+sin(x)) = 2 sec^2(x)
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.
1st/3ways: trig integral ∫sec(x) dx
trig integral sin(tan(x)) cos(tan(x)) sec^2(x) dx [chain rule in reverse]
2 ways: trig integral ∫ sec^2(x) csc^2(x) dx
Columbia U: 1st way Evaluate the indefinite integral 1/(1+e^x) dx
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trig Show 1/(1+cos(x)) = 1/2 sec^2(x/2)