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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1
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MP 8,93,96,97,99 Hindustan: Evaluate β« sec(x)/(sec(x)-tan(x)) dx
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MPPET 1996 Hindustan: trig integral β« sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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MP 2000 Hindustan: Evaluate β«(tan(x)+cot(x))^2 dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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RPET 2003 Hindustan: integral β«sin^4(x)-cos^4(x) dx
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1st way: exp β«(e^x)/x (1+x log(x)) dx
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2nd way: integral β« log βx(x^n) dx
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MP 98 Hindustan: Evaluate (i) β«e^loge(x) dx (ii) β«e^(-loge(x)) dx
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AI 2008 Hindustan: Evaluate integral β« 2/3 cos(x)/sin^2(x) dx
exp integral β«1/(e^(2x) - 25) dx
The number of solutions of the equation x^(log10(x)) = 100x
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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.
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prob stat: Find the expected value & std deviation in the number of '6's when 20 dice are rolled.
MIT Integration Bee Quali Exam 2023 #6 integral β«x+sin(x) +x cos(x)+sin(x)cos(x) dx
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Express the sum of the digits of the number (1000^20 - 20) in decimal notation
logic: Simplify the Boolean function F=AB+BC+B'C
derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)
#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam
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