Screen Recording 2024-02-02 at 1.54.05 AM

2024 #3 MIT Integration Bee Final Lightning Round

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

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lim x/e^x? as x→∞

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

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AP Calculus 2nd way trig integral ∫x^2 cos(x) dx

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Given events J & K:

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

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Compute the arithmetic mean for the following grouped data ...

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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

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example: Mean, Median & Mode

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

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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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NYU: compute integral ∫√(1+ √x) dx

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AP Calculus 2nd way trig ∫sin^3(x)/(cos(x)-1) dx

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx

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

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2nd way: trig integral ∫1/(1+sin^2(x))cos^2(x))

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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx

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prob stat OCR #8 The Normal variable X is transformed to the Normal variable Y. ...

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