Amaya & Ben integrated (1+x)^2 wrt x using different methods as follows ...

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

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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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2nd way: integral ∫ log √x(x^n) dx

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

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

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

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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logic How can we check our Boolean simplification is done correctly?

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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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#9 2020 MIT Integration Bee Quali Exam: integral ∫1/cosh^2(x) dx

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#14 2020 MIT Integration Bee Quali Exam: integral sin(x+sin(x))-sin(x-sin(x)) dx

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#5 2020 MIT Integration Bee Quali Exam: integral 1/(x^2+(x-1)^2) dx

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UC Davis: #10 log integral ∫3/(x ln(x)) dx.

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#7 2020 MIT Integration Bee Quali Exam: sin^4(x) cos^4(x) (cos(x)+sin(x))(cos(x)-sin(x)) dx

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2nd/2ways: Taylor series of sin(x) [Maclaurin's series]

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

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UC Davis: #9 exp integral ∫x 3^(x^2+1) dx

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[Course] David Snyder - People Reading for Fun & Profit

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#10 2024 MIT Integration Bee Qualifying Exam

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#6 2024 MIT Integration Bee Qualifying Exam

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