Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)

UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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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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2nd way: integral ∫ log √x(x^n) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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2nd/3ways: trig integral ∫sec(x) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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Calculus: Find nth derivative of log(ax+b)

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2nd/2parts: Linear interpolation (2 given points)

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2

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There are 2 lines. One line has 3 points & the other line has 6 points.

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#17 2011 MIT Integration Bee Qualifying Exam

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Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)

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#14 2020 MIT Integration Bee Quali Exam: integral sin(x+sin(x))-sin(x-sin(x)) dx

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3 ways: trig integral ∫tan(x) sec^2(x) dx

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2nd/3ways: exp Derivative x^x

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2 ways: Derivative √ (1+√ (1+√ x)))

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