UC Davis #22 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub

#10 2023 MIT Integration Bee Qualifying Exam

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

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

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#16 2011 MIT Integration Bee Qualifying Exam

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#13 2011 MIT Integration Bee Qualifying Exam

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

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#12 2024 MIT Integration Bee Qualifying Exam

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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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2nd way: √((x^2-x)/√x + √x) dx

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#15 2022 MIT Integration Bee Qualifying Exam

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derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

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#16 2011 MIT Integration Bee Qualifying Exam

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2 ways: integral x√(x-5) dx

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#4 2022 1st/2 ways: MIT Integration Bee Qualifying Exam

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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.

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2nd way: integral ∫ 1/(1+x+x^2) dx

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Screen Recording 2024-02-02 at 1.54.05 AM

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