Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(4x)) dx

UC Davis #8: integral cos(5x)/(3+sin(5x)) 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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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Review: Linear form, Quadratic form & Bilinear form

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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example Find 1+2+3+...+n via Pick's Theorem

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AP Calculus 2nd way: trig integral ∫dx/(4-3cos^2(x)+5sin^2(x)) dx

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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exp integral ∫1/(e^(2x) - 25) dx

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#9 2023 MIT Integration Bee Qualifying Exam

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prob stat: A family has 2 children. What is the conditional prob that both are boys ...

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#17 2022 MIT Integration Bee Qualifying Exam

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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Given that X Geo(p), find P(X=k) if

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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx

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#18 2023 MIT Integration Bee Qualifying Exam

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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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#20 2020 MIT integration Bee Quali Exam: integral ∫1/(1+cos^2(x)) dx

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