2 ways: derivative a^logb(m√x)

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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2 ways: ∫1/(x^2+2x-3) dx

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JEE Main integral x^2/(a+bx)^2 dx

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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JHU: sq root integral ∫e^√x dx

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integral ∫1/(4x-3-x^2) dx

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4 ways: Evaluate Σ(2k+1) k=1,20

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2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx

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1st/3parts: Mean of 1,2,3,...,n SAME as Mean 1,n

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He seems to have the cards but she is the master of the game.

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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Lamar U: implicit derivative Find y' for ...

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SCARLET

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Careful: arc sin(sin(5π/4)) ≠ ...

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Chinese drama

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