Calc 2- Exam 1

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Calculus - Geometry

user_pereira_de_andr Created by 6 mon ago

Cards in this deck(24)

f(x)g'(x)+g(x)f'(x)

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cosx

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sec^2x

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secx*tanx

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-sinx

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-csc^2x

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-cscx*cotx

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1/x

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b^x lnb

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1/sqrt(1-x^2)

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-1/sqrt(1-x^2)

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1/(1+x^2)

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-1/(1+x^2)

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1/(|x| sqrt(x^2-1))

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-1/|x|sqrt(x^2-1)

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A=b*h/2

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A= (a+b/2) *h

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x∫a f(t) dt = f(x)

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a∫b f(x) dx = F(b)-F(a)

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symmetric about y-axis (x^2, cos(x)) -a∫a f(x) dx= 2 0∫a f(x) dx

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symmetric about the origin (sin(x), tan (x)) -a∫a f(x) dx= 0

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1/b-a a∫b f(x) dx

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If f is continuous on [a,b], then there exists a c in [a,b] such that a∫b f(x) dx = f(c)(b-a).

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a∫b f(g(x))*g'(x) dx= g(a)∫g(b) f(u) du

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