Show ∫ f'(x)/√f(x) dx = 2 √f(x) + C

Sum of Square vs Square of Sum

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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logic Idempotent law show x=xVx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) 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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Compute the arithmetic mean for the following grouped data ...

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Find the mean of the data given in the freq. distribution below ...

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2024 MIT Integration Bee Final

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

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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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Screen Recording 2024-02-22 at 10.18.05 PM

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#6 2024 MIT Integration Bee Qualifying Exam

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2nd way: exp integral ∫e^(1/x)/x^2 dx

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

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What does SS tell us about a set of data? Under what circumstances will the value of SS equal 0?

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Amaya & Ben integrated (1+x)^2 wrt x using different methods as follows ...

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