Alternate way: ∫(5+2x)/(x+x^4)dx

We lost original x's but still know mean x̄ & n. Now we collected m new observations.

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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

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2nd way: integral ∫ log √x(x^n) dx

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Find the number of different 8 letter arrangements that can be made from the letters of the word ..

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logic [k map]:Simplify Boolean function F=(X'+Y)(X+Y)

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Discrete rv X has the following prob. distribution

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💙I Love You💙 [❤️我也爱你❤️]

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logic [k map]: Simplify Boolean function F=X'Y'+X'Y+XY'+XY'

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

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#9 2023 MIT Integration Bee Qualifying Exam

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#15 2022 MIT Integration Bee Qualifying Exam

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1st/2 parts stat: SLR ∑ŷk = ∑yk where k=1,n

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#7 2023: MIT Integration Bee Quali Exam: integral ∫x^3 sin(x^2) dx

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