alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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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Review: Linear form, Quadratic form & Bilinear form

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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

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2nd way: integral ∫ log √x(x^n) dx

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

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2nd/2 parts: 2 (elementary) rules

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Screen Recording 2023-12-02 at 3.42.17 AM

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integral ∫√(x-a)/x dx

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1st/4 ways: integral ∫1/(x + √x) dx

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Compute the derivatives of the following function

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A function f is called even if f(-x)=f(x) for ALL x in the domain of f &

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integral ∫(x^2-x+1)/(x^2+x+1) dx

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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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#6 2019 MIT Integration Bee Final

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

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1st/2parts: 2 (elementary) rules

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Alternate way: ∫(5+2x)/(x+x^4)dx

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sq root derivative √x [Good to know the result]

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