Solve dis attachment and show all work ( i got it all wrong and i want to know how to solve it )
show all work and answer if you can

(a) First find the intersections of and :



So the area of is given by



If you're not familiar with the error function , then you will not be able to find an exact answer. Fortunately, I see this is a question on a calculator based exam, so you can use whatever built-in function you have on your calculator to evaluate the integral. You should get something around 0.5141.

(b) Find the intersections of the line with .



So the area of is given by




which is approximately 1.546.

(c) The easiest method for finding the volume of the solid of revolution is via the disk method. Each cross-section of the solid is a circle with radius perpendicular to the x-axis, determined by the vertical distance from the curve and the line , or . The area of any such circle is times the square of its radius. Since the curve intersects the axis of revolution at and , the volume would be given by

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