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Math Help - antiderivative of e^-x

  1. #1
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    antiderivative of e^-x

    what is the antiderivative of e^-x ?
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  2. #2
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    Quote Originally Posted by cottekr View Post
    what is the antiderivative of e^-x ?

    -e^{-x}

    Do you understand why?
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  3. #3
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    Quote Originally Posted by cottekr View Post
    what is the antiderivative of e^-x ?

    What is the antiderivative of e^x? And if now you change the sign in the exponent how does that affect the antiderivative?

    Tonio
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  4. #4
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    I do understand, thats what I thought the answer was, but I was using an online antiderivative calculator and it said the asnwer was 1/(e^x logx)

    is the antiderivative of sin(pi*x) -cos(pi*x)/pi ?
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    Quote Originally Posted by cottekr View Post
    I do understand, thats what I thought the answer was, but I was using an online antiderivative calculator and it said the asnwer was 1/(e^x logx)

    This what may happen when one gives too much trust onto those stupid electronic devices. It's better to think.

    is the antiderivative of sin(pi*x) -cos(pi*x)/pi ?
    This is a question poorly redacted, but yes: \int \sin \pi x\,dx=-\frac{\cos \pi x}{\pi}

    Tonio
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