What is the antiderivative of 7/x-10e^x?

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2007-12-01 03:24:10 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

7ln(x)-10e^x

think it like 7 (1/x) - 10 e^x

7 is a constant but antide 1/x is lnx

antide e^x is e^x

2007-12-01 03:27:25 · answer #1 · answered by Luc N 2 · 0⤊ 0⤋

Break it in two.
An antiderivative of 7/x is 7*ln|x|
and an antiderivative for 10e^x is 10 e^x.
So the answer is
7*ln|x| -10e^x + C.

2007-12-01 04:16:57 · answer #2 · answered by steiner1745 7 · 0⤊ 0⤋

â«[7/x - 10e^x]dx

=>7â« dx/x - 10â«e^x dx

=>7ln(x) - 10e^(x) + c

2007-12-01 03:43:21 · answer #3 · answered by mohanrao d 7 · 0⤊ 0⤋