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2 ways: sq root √x^x

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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Quickie: Find the value of √((470+160)(470-160) +2560)

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1st/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)
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1st/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)

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OSU Math 1151 Practice4: Compute the derivative

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STPM Math T Sem.2:

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log integral ∫ln(1/x)/x^2 dx

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trig integral a) Show that sin(t) cos(t)=1/2 sin^2(t)+c

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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

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