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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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2nd way: trig integral ∫1/(cos^2(x) - sin^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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Pantun Melayu [Sorong papan tarik papan]
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
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2nd/2ways: Taylor series of cos(x)
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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.
derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0
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#10 2024 MIT Integration Bee Qualifying Exam
2nd way: Express as partial fractions
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2nd/2 ways: #12 2024 MIT Integration Bee Qualifying Exam
Alfaia Circuit (B)
3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule
Alternate way: trig integral ∫sin(x) dx
1st/parts: Derivative of the inverse circular functions
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