Columbia U: 1st way Evaluate the indefinite integral 1/(1+e^x) dx

MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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

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

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Pantun Melayu [Buah cempedak di luar pagar]

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Pantun Melayu [Sorong papan tarik papan]

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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#6 2024 MIT Integration Bee Qualifying Exam

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UC Davis#4 4 ways: integrate 7^(2x+3) dx

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Screen Recording 2024-02-22 at 10.09.39 PM

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matrix example: How to select the ROW you want ...

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

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Screen Recording 2024-02-22 at 10.23.21 PM

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Screen Recording 2024-02-22 at 10.13.28 PM

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U Arizona: For each integral decide which of the following is needed:

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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:

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Lamar U Calculus: #14 integral ∫ [9sin^5(3x)-2cos^3(3x)] csc^4(3x) dx

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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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