1st/2 ways: integral ∫1/(x(x^n -1)) dx

#10 2023 MIT Integration Bee Qualifying Exam

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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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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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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

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Bijection of elements in tn & a pair of elements of (n+1)

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JEE Main integral x^2/(a+bx)^2 dx

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

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UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)

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prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &

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

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logic Show by truth table x∧(x→y)→y is Tautology

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prob stat: One sample of n=4 scores has a mean of M=10, &

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Screen Recording 2023-12-30 at 9.34.01 PM

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AP Calculus: log ∫√x(√√x) da

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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2nd way: integral 1) ∫1/√(a - √b x^2)dx vs 2) ∫1/√(a - √b x^2) dx

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Find the mean 118,50,84,67,101 withOUT calculation. Support your answer.

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Home grown organic vegetables

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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