B set up an integral but do not evaluate that gives

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(b)Set upan integral (butdo NOT evaluate) that gives the volume of the solid generatedby rotatingRabout thex-axis.
(c)Set upan integral (butdo NOT evaluate) that gives the volume of the solid generatedby rotatingRabout the liney=-1.
3. (10 points) Given thatR50f(x)dx= 5 and1
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4. (10 points) Use the fundamental theorem todifferentiatethe following functions, i.e. findthederivativefor the given functions. Hint: you do not need to evaluate the integrals.(a)f(x) =Zx0ln(t2+et)dtf0(x) =ddxZx0ln(t2+et)dt=ln(x2+ex)(b)g(x) =Zx211 +t2dtLetf(x) =Rx1 +t2dtandp(x) =x2. Notef0(x) =1 +x2andp0(x) = 2x. Theng(x) =f(p(x)). Nowg0(x) can be found using the chain rule.

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