Evaluation of definite integral


Assignment:

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.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Evaluation of definite integral
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