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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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

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

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#22 2019 MIT Integration Bee Final

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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

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2nd/2parts example Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

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JEE Main integral ∫x^5 /√(1+x^3) dx

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#6 2019 MIT Integration Bee Final

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#7 2023: MIT Integration Bee Quali Exam: integral ∫x^3 sin(x^2) dx

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2 ways: ∫ 1/(10x^2 -x-21) dx

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MIT Integration Bee Qual. Exam #1: integral x^(1/log(x)) dx

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2 ways: integral (3+5x)/(x(x-1)) dx

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alternate way: count sum 1+3+5+ ... +(2n-1)

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#1 2021 MIT Bee Qualifier: trig integral sin(x) cos(x) tan(x) sec(x) csc(x) cot(x) dx

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