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# Evaluation of the definite integral

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The problem is read, set up and evaluate the definite integral for the area of the surface generated by revolving the curve. y=(x^4/8)+(1/4x^2),1 is less than or equal to t and t is less than or equal to 3, about the x axis.
also there's a part b which reads.x=1-t^2,y=2t, 0 is less than or equal to t and t is less than or equal to 1, about the x axis

I sort of get how to set up the problems, but I'm not really sure if I'm doing it right. So when i get to my answer I'm not sure if its right. We did some in class and they were kind of similar to these, but not quite enough for me to understand how to do my homework problems above. I just keep getting kind of lost and keep questioning if I' m setting them up right; and I'm wondering if I'm getting the right answer.

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#### Solution Preview

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Applications of the integral
the problem is read, set up and evaluate the definite integral for the area of the surface generated by revolving the curve. y=(x^4/8)+(1/4x^2),1 is less than or equal to t and t is less than or equal to 3, about the x axis.
also theres a part b which reads. x=1-t^2,y=2t, 0 is less than or equal to t and t is less than or equal to 1, about the x axis

i sort of get how to set up the problems, but im not really sure if im doing it right. so when i get to my answer im not sure if its ...

#### Solution Summary

This solution provides step by step explanation on how to set up and evaluate the definite integral for the area of the surface generated by revolving a curve.

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