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du

a 2 −u 2 = sin−1 u a + c

du

= 1

a 2 +u 2 a tan−1 u + c a

du

= 1

u u 2 −a 2 a sec−1 u + c a

u cos u du = cos u + u sin u + c

u sin u du = sin u − u cos u + c

e au cos bu =

e au

a 2 +b

2

a cos bu + b sin bu + c

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ln u du = u ln u − u + c u ln u = u2 ln u 2 − u2 4 + c u n ln u du = un+1 ln u − un+1 + c n+1 n+1 2 u e u du = ue u − e 2 + c u 2 e u du = u 2 e u − 2ue u + 2e u + c u 3 e u du = u 3 e u − 3u 2 e u + 6ue u − 6e u + c ue au du = u eau a u 2 e au du = u 2 eau a − eau a 2 − 2u + c eau a 2 + 2 eau a 3 + c

du a 2 −u 2 = sin−1 u a + c du = 1 a 2 +u 2 a tan−1 u + c a du = 1 u u 2 −a 2 a sec−1 u + c a u cos u du = cos u + u sin u + c u sin u du = sin u − u cos u + c e au cos bu = e au a 2 +b 2 a cos bu + b sin bu + c

Page 1 and 2: UNIVERSITARIO INSUCO
Page 3 and 4: d dx f x + g(x) = f′ x + g x d d
Page 5 and 6: f x cf x + g(x) dx = f x dx + g x
Page 7: sinh u du = cosh u cosh u du = sin

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