Science:Math Exam Resources/Courses/MATH101/April 2013/Question 04 (b)/Statement

Full-Solution Problems. In questions 4–12, justify your answers and show all your work. If a box is provided, write your final answer there. Unless otherwise indicated, simplification of numerical answers is required in these questions.

The graph below shows the region between $\displaystyle y=4+\pi \sin x$ and $\displaystyle y=4+2\pi -2x$

The region is rotated about the line $y=-1$. Express in terms of definite integrals the volume of the resulting solid. Do not evaluate the integrals. Also, it is not necessary to simplify them.