UC Davis #13: integrate ∫(x+3)(x-1)^5 dx

prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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

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Pantun Melayu [Buah cempedak di luar pagar]

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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2nd way: derivative x^n w.r.t x^x

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2 ways: derivative x √√x

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