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Lösung 2.2:1c

(Unterschied zwischen Versionen)

Version vom 10:20, 11. Mär. 2009

With the given variable substitution, u=x3, we obtain

du=

dx=3x2dx

and because the integral contains x2 as a factor, we can bundle it together with dx and replace the combination with 31du,

ex3x2dx=

u=x3

eu31du=31eu+C.

Thus, the answer is

ex3x2dx=31ex3+C

where C is an arbitrary constant.