2 ways: derivative ln(ax-b)^(p-qx)

A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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2nd way: integral ∫ log √x(x^n) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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2 ways: trig derivative log(sec(x/2)+tan(x/2))

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UT Austin: 2 ways trig integral ∫sin(2x+1)/cos^2(2x+1) dx

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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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AP Calculus 2nd way: integral ∫(1-√x)/(1+√x) dx

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2nd/2 ways: inverse trig derivative show d(arc sin(x))/dx = 1/√(1-x^2)

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AP Calculus 2nd way:

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

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UT Austin: trig integral ∫cos(√x)/((√x) sin^2(√x)) dx

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2nd/2 ways: [k-map] logic:Simplify the Boolean function F=A+A'B

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2nd/3ways: trig integral ∫sec(x) dx

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Find the number of subsets {1,{2,3}}

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1st/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

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UT Austin: trig integral ∫csc((x-π)/2) cot((x-π)/2) dx

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If 2^x + 2^y = 2^(x+y), then dy/dx ?

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UT Austin: sq root ∫(1+√x)^3/√x dx

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𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(a^2+bx^2) dx

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