Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

2nd way: ∫1/(√(x-α)(x-β)) dx

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

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2nd way: integral ∫ log √x(x^n) dx

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Review: Linear form, Quadratic form & Bilinear form

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

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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prob stat: A population of N=10 scores has a mean of 30.

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

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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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1) integral ∫1/5 dx/(1+x) vs 2) integral ∫sec^(5x)/(1+ tan(5x)) dx

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Screen Recording 2024-02-22 at 10.13.28 PM

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prob stat: A group consists of 4 girls & 7 boys. In how many ways can a team of 5 members ...

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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#8 2014 MIT Integration Bee Qualifying Exam

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#5 2020 MIT Integration Bee Quali Exam: integral 1/(x^2+(x-1)^2) dx

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Daily Verse. Genesis 30:37-39

Joseph Labadan

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AP Calculus: log ∫√b(√√a) dx

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

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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