2nd/4ways: trig derivative sin(x)

prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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

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2nd way: derivative (x^x)^x

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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sq root 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(√x (1+√x))dx

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Derivative d(x^(arc sin(x))/d(arc sin(x))

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There are 2 lines. One line has 3 points & the other line has 6 points.

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log 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(x ln(x) ln(ln(x))) dx

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cos(arc sin(x))? & tan(arc sin(x))?

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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

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2nd way: derivative (x^2+1)^sin(x)

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#17 2010 MIT Integration Bee Qualifying Exam

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2 ways of "counting": Angles in a triangles = 180 degrees

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1st/2 ways: Show derivative d(arc sin(x))/dx = 1/√(1-x^2)

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2 ways: integral 1 dx

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