trig integral ∫cos(ax+b)/e^sin(ax+b) dx

STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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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/3ways: trig integral ∫sec(x) dx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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Review: Linear form, Quadratic form & Bilinear form

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

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

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx

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Screen Recording 2024-05-05 at 11.28.23 PM

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Always ZERO

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AP Calculus 2nd way: trig integral ∫sin^2(x) cos^2(x) dx

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Show Σ(a+bk) = (a+1/2bn)(n+1)

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exp trig derivative x^x sin(x)

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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1st/2ways: r-Permutations

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Show Σa=na where k=1 to n

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1st/2ways: exp e^g(x) (g'(x)f(x) + f'(x)) dx

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5 ways: trig derivative tan(x).

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