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tan (x) dx = −ln |cos (x)| + c

cot (x) dx = ln |sin (x)| + c

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

csc (x) dx = ln | csc x − cot (x)| + c

e u du = e u + c

a u du = au

ln a + c

udv = uv − vdu + c

ln u du = u ln u − u + c

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sinh u du = cosh u cosh u du = sinh u + c + c tanh u du = ln |cosh (u)| + c coth u du = ln |sinh (u)| + c sech u du = 2tan −1 e u + c csch u du = ln tanh u + c 2 sech 2 u du = tanh u + c csch 2 u du = − coth u + c sech u tanh u du = − sech u + c csch u coth u du = − csch u + 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: f x cf x + g(x) dx = f x dx + g x
Page 9: du a 2 −u 2 = sin−1 u a + c du

formulario

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