UC Davis #18: trig integral ∫sec(x) tan(x) √(4+3sec(x)) dx

Tantan was cheated by his fellow senior

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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0

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3 ways: ∫ (3x+11)/(x^2-x-6) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(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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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Vandermonde's Identity

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Ex11.6 STPM Math T Sem.2 Find the fir st 4 terms in the expansion of the following functions

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Alternate way: log integral ∫1/(x+xln(2x))

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Screen Recording 2023-12-06 at 3.07.30 AM

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Find the number of different 8 letter arrangements that can be made from the letters of the word ..

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Show log b^n(x^m) = m/n logb(x)

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UC Davis#4 4 ways: integrate 7^(2x+3) dx

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Georgia Tech MA155: Evaluate each indefinite integral:

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1st/2parts: Linear interpolation (2 given points)

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Alternate way: ∫1/(x^2+a^2) dx

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Derivative (af(x)+b)^(pg(x)+q)

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UC Davis #14: integral ∫x √(4-x) dx

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