U of Arizona: For each integral decide which of the following is needed ....

exp integral e^x (f(x) + f'(x)) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) 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 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Review: Linear form, Quadratic form & Bilinear form

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

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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

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

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Always ZERO

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

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Alternate way: ∫(5+2x)/(x+x^4)dx

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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logic: Show p→q ≡¬ p∨q

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#12 2014 MIT Integration Bee Qualifying Exam

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#3 2010 MIT Integration Bee Qualifying Exam

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#1 2017 MIT Integration Bee Qualifying Exam

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#17 2010 MIT Integration Bee Qualifying Exam

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alternate way: count sum 1+2+3+ ... +n

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