03 - IndefiniteInt

03 - IndefiniteInt - must include it. You will need to...

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Indefinite Integral An antiderivative of cos x is sin x since d (sin x ) dx = cos x . But g ( x ) = sin x + 2 is also an antiderivative, since ! g ( x ) = cos x . In general, the set of all antiderivatives of cos x is sin x + C where C is a constant. Definition: The indefinite integral of f , f ( x ) ! , is defined f ( x ) dx = F ( x ) where ! F ( x ) = f ( x ) " . The indefinite integral is a function. Ex. 1 x 2 + 1 dx = ! Ex. t 4 ! t t + 1 t dt = "
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Note: on-line quiz problems do not include the “C”. In class we
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Unformatted text preview: must include it. You will need to remember to use the C in Math 1224 and our applications. Ex. e 2 x + 3 dx = ! Ex. sin(5 t ) dt = ! Ex. b ct + cos at ( ) ! dt Note: you may have to simplify the integrand. Ex. e x + 1 ( ) 2 dx ! Ex. 1 + cos 2 ! cos 2 " d Do: 1. x 3 ! + 1 x 3 dx 2. 1 4 z ! 6 + 1 4 + z 2 " dz 3. t r dt ! 4. r t dt !...
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03 - IndefiniteInt - must include it. You will need to...

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