2nd way: integral ∫x/(2ax-x^2) dx

2024 #3 MIT Integration Bee Final Lightning Round

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

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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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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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

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2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx

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Suppose E & F are 2 complementary events. Must E & F be mutually exclusive? Explain your answer.

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AP Calculus 2nd way: integral ∫(ax^2+bx+c)/(ax+c) dx

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AP Calculus 2nd way: integral ∫(1-√x)/(1+√x) dx

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

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Example: Find the sum

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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Find the area via Pick's Theorem

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2nd/2ways: Taylor series of cos(x)

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Screen Recording 2024-02-22 at 10.23.21 PM

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

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

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

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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AP Calculus: integral ∫(5√x^3 + √6x) /√x dx

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