AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx

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2nd way: integral ∫ log √x(x^n) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(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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prob stat: 1st/2 parts. One sample has a mean of M=6 &

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2nd way: Evaluate integral ∫x^2/√(19-x^2) dx

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prob stat Toss a pair of fair 6-sided dice. The sample space has 36 outcomes.

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AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]

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