2nd way: ∫ (4x^2 +x +9)/((x^2+1)(x^2+3)) dx withOUT partial fraction

2nd way: Evaluate integral ∫x^2/√(19-x^2) dx

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

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logic Idempotent law show x=xVx

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

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integral ∫ x dx withOUT using Power rule.

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Review: Linear form, Quadratic form & Bilinear form

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

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Evaluate these 7 integrals ...

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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5 ways: integral ∫a^(px+q) dx

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trig integral sin(x+sin(x))-sin(x-sin(x)) dx

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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2nd way: trig integral ∫ √sec^5(x)/√sin^3(x) dx

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2nd way: trig integral ∫x sin(x) sec^3(x) dx

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Screen Recording 2024-02-22 at 10.13.28 PM

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2nd way: sq rt integral ∫ √√e^x dx

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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)

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