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How do you find the indefinite integral of $\int 5^{- x}$ $int 5^-x$ ?

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Mar 24, 2017

$because, inta^xdx=a^x/lna+c, :. int5^-xdx=int(1/5)^xdx$

$=(1/5)^x/ln(1/5)=(5^-x)/(ln1-ln5)=-5^-x/ln5+C.$

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