Quick integrating question (part of a series question)

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Quick integrating question...(part of a series question)

Still studying for my exam...


Came across this example and I don't know what the method is for integrating this type of problem? (I'm using it to do the integral test for series). How did they get rid of the x^3? thanks for the help :-)

int.jpg
 
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Well what's the derivative of -1/3 * exp(-x^3)?
 
Or: let u= x2 so that du= 3x2 dx.
 
ahhh...i see it now. thanks :-)