hmm can someone please check if this is correct for the next line: $\displaystyle \int (e^x - 1)^6 e^x dx $ = $\displaystyle \frac{x(x-1)^7 e^x }{7} + C $ ??
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Originally Posted by Adre5 hmm can someone please check if this is correct for the next line: $\displaystyle \int (e^x - 1)^6 e^x dx $ = $\displaystyle \frac{x(x-1)^7 e^x }{7} + C $ ?? No. If you substitute e^x as t, the e^x*dx = dt. The integration becomes Int(t-1)^6*dt. And it is equal to (t-1)^7/7. Now substitute for t to get the final result.
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