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3 ways: rational function integral ∫(x^2+1)/(x-1)^3 dx
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1st way: exp ∫(e^x)/x (1+x log(x)) 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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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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integral ∫x^2/√(x^2+a^2) dx
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Evaluate these 8 integrals of the form ∫(a-bx)^m dx
4 ways: trig integral ∫sin(x) cos(x) dx
#10 2023 MIT Integration Bee Qualifying Exam
Practice STPM Math Sem2 derivative
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2 ways: Find ∫(ax^x+bx+c) dx
2 ways: trig derivative log(sec(x/2)+tan(x/2))
UC Davis #14: integral ∫x √(4-x) dx
Alternate way: ∫(5+2x)/(x+x^4)dx
#6 2019 MIT Integration Bee Final
1st/2ways: Evaluate trig integral ∫1/(sin(x)+cos(x)) dx
#8 2021 MIT Integration Bee Qualifying Exam
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1) integral ∫1/5 dx/(1+x) vs 2) integral ∫sec^(5x)/(1+ tan(5x)) dx
Properties of Determinants [examples with 2x2 matrix]