exp integral ∫a^x/b^x dx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Always ZERO

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integration bee 2014 UNSW: 4th way: e^x(cos(x)+sin(x)) dx

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#10 2023 MIT Integration Bee Qualifying Exam

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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Mohammad Ali Jinnah University: Integrate the followings.

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integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx

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2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2

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prob stat One of the longest words in std. statistics terminology is "HOMOSCEDASTICITY".

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3 ways: trig integral ∫sec^2(x) tan(x) dx

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