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Math Help - indefinite integral

  1. #1
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    indefinite integral

    Find the indefinite integral of e^(f(x)+ln(f'(x))) dx

    I do have the steps from my teacher, but I'm confused about how to get to the first step which is simplifying to e^ f(x) f'(x)
    Would anyone mind explaining how to get to this first step as I do understand the rest except this?

    Thanks in advance
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  2. #2
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    e^{(f(x) + ln(f'(x))} = e^{f(x)}e^{ln(f'(x)} = e^{f(x)}f'(x)

    because e^ln(a) = a.
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