Careful: arc sin(sin(5π/4)) ≠ ...

Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx

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trig integral ∫sin^(-2/3)(x) cos^3(x) dx

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Find the Maclurin series for (2x+3)(5x-4)

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Given events J & K:

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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Find f'(x) in terms of g'(x)

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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Show Σ(a+bk) = (a+1/2bn)(n+1)

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Derivative: Don't blindly use the Quotient Rule every time you see a quotient

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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#6 2010 MIT Integration Bee Qualifying Exam

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#4 2017 MIT Integration Bee Qualifying Exam

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