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

Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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count quick review: Permutation vs Combination

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

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

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

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Review: Linear form, Quadratic form & Bilinear form

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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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#10 2023 MIT Integration Bee Qualifying Exam

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JHU: sq root integral ∫e^√x dx

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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2

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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.

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matrix example: How to select the column you want ...

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UC Davis#4 4 ways: integrate 7^(2x+3) dx

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exp integral e^2x/(1+e^x) dx

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UC Davis #14: trig integral ∫(sin(x)-cos(x))(sin(x)+cos(x))^5 dx

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