#17 2010 MIT Integration Bee Qualifying Exam

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

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

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[Tang Jiafeng] I am so disappointed in you!

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lim x/e^x? as x→∞

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2024 #3 MIT Integration Bee Final Lightning Round

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

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

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Given events J & K:

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

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

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

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NYU: compute integral ∫√(1+ √x) dx

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

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

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AP Calculus: log ∫√b(√√a) dx

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Find the mean of the data given in the freq. distribution below ...

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AP Calculus 2nd way: trig integral ∫sec(2x)/(sec(x) csc(x) dx

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

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2nd way: integral ∫1/√(arc sin(a)x - √√b) dx Calculus

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