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f x

cf x

+ g(x) dx = f x dx + g x dx

= c f x dx

x n dx = xn+1

+ c , n ≠ −1

n+1

sin (x) dx = − cos x + c

cos (x) dx = sin (x) + c

sec 2 (x) dx = tan(x) + c

csc 2 (x) dx = − cot(x) + c

sec (x) tan(x) dx = sec(x) + c

csc (x) cot(x) dx = −csc(x) + c

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d dx cot (u) = − csc2 u u′ d dx d dx sec (u) = sec u tan u u′ csc (u) = − csc u cot u u′ d dx eu = e u u′ d dx au = a u ln a u′ d dx ln (u) = u′ u d dx log a(u) = log a e u′ u

f x cf x + g(x) dx = f x dx + g x dx = c f x dx x n dx = xn+1 + c , n ≠ −1 n+1 sin (x) dx = − cos x + c cos (x) dx = sin (x) + c sec 2 (x) dx = tan(x) + c csc 2 (x) dx = − cot(x) + c sec (x) tan(x) dx = sec(x) + c csc (x) cot(x) dx = −csc(x) + c

Page 1 and 2: UNIVERSITARIO INSUCO
Page 3: d dx f x + g(x) = f′ x + g x d d
Page 7 and 8: sinh u du = cosh u cosh u du = sin
Page 9: du a 2 −u 2 = sin−1 u a + c du

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