2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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logic Idempotent law show x=xVx

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2nd way: derivative (x^x)^x

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prob stat: For the sample shown in the freq distribution table, what is the mode?

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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2024 MIT Integration Bee Final

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85

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2nd way: trig integral ∫ √sec^5(x)/√sin^3(x) dx

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

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1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]

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2nd way: derivative (x^2+1)^sin(x)

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U Arizona: For each integral decide which of the following is needed:

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