Find the integrated integral

Stud778

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Jun 10, 2010
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\(\displaystyle \int x^5e^{1-x^6} dx\)
I know \(\displaystyle u=1-x^6\) and \(\displaystyle du= -6x^5 dx\)
what should be my next step?
 
Stud778 said:
\(\displaystyle \int x^5e^{1-x^6} dx\)
I know \(\displaystyle u=1-x^6\) and \(\displaystyle du= -6x^5 dx\)
what should be my next step?

\(\displaystyle \int x^5e^{1-x^6} dx \ \ = \ \ \int e^{1-x^6} (x^5 dx) \ \ = \ \ \int e^{u} \cdot (-\frac{du}{6})\)

Now continue....
 
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