Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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

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

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2nd/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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2nd way: derivative (x^x)^x

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

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

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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UC Davis #12: exp integrate ∫(27e^(9x) + e^(12x))^(1/3) dx

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4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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

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derivative x^n vs n^x vs x^x

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#8 2021 MIT Integration Bee Qualifying Exam

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Review: Product to Sum Identities

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The inspector Joshua movie

Opulence Editing

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2 ways: derivative Find dy/dx, where tan(x+y)+tan(x-y)=1

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"baby" fact: exp e^(ix)

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

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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exp integral ∫a^x/b^x dx

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