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

Always ZERO

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2nd way: integral ∫ log √x(x^n) dx

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

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logic Idempotent law show x=xVx

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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There are 2 lines. One line has 3 points & the other line has 6 points.

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#12 2024 MIT Integration Bee Qualifying Exam

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AP Calculus 4th way: exp ∫1/(1+e^x) dx via 3rd u-sub

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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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exp Calculate ∫x^3 3^x dx via IBP

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Screen Recording 2024-05-18 at 10.21.39 PM

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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)

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prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.

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Screen Recording 2024-02-22 at 10.23.21 PM

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AP Calculus: log ∫√b(√√a) dx

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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

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#6 2024 MIT Integration Bee Qualifying Exam

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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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Derivative d(x^(arc sin(x))/d(arc sin(x))

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