William & Mary Math112: trig integral sin^3(x) cos^2(x) 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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logic: tautology (¬p→q)∧(¬p→¬q) →p

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

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

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Review: Linear form, Quadratic form & Bilinear form

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

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Review Add Math: 1.2/parts: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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Always ZERO

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trig integral cos^2(x) sin(x) dx

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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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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exp trig derivative x^x sin(x)

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1st/2ways: r-Permutations

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logic: contradiction p∧¬p

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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2nd way: derivative y=e^x sin(x) cos^3(x)

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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