exp sq root integral ∫(√√ϕ)^x/(π^x) dx

Difference of 2 nonconsecutive triangular numbers

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2nd/3ways: trig integral ∫sec(x) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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logic Idempotent law show x=xVx

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

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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2nd way: ∫1/(x(10+7log(x)+log^2(x)) dx

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derivative y=a^(arc sin(x))^2

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4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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2nd way: trig integral ∫1/(1+sec(x)) dx

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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Find the number of permutations of the letters of the word ALLAHABAD

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Polite number

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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2nd way: ∫ (x+1)/(1-x^2) dx

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2 ways: derivative log3(x)

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1st/2 ways: Show 1+3+5+ ... +(2n-1) + (2n+1) + (2n-1)+...+5+3+1= n^2 + (n+1)^2

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5 ways: integral ∫a^(px+q) dx

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trig integral ∫sin(2x) cos(2x) / (9-cos^4(2x)) dx

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trig integral ∫sin(2x) cos(2x)/(9-cos^4(2x)) dx

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