2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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Review: Linear form, Quadratic form & Bilinear form

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

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From.Up.on.Poppy.Hill.A.K.A.Kokuriko-zaka.kara (2011)

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#8 2021 MIT Integration Bee Qualifying Exam

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3rd/10parts: Exclusive disjunction

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2nd way: sq rt log integral ∫√√√(x) ln(x) dx

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Alternate way: exp derivative x^n

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UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)

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CMU: Find these integrals (a)-(b)

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derivative a^(f(x)g(x))^h(x)

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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"

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