Unformatted text preview: 3 , y = 1 2 t 2 for ! t ! 1 6) By parameterizing the x and y coordinates of a circle of radius r , prove that the length around a circle is 2 ! r . 7) Integration practice: a) ln x x (1 + ln x ) dx ! b) x 2 x + 1 dx ! c) x + tan ! 1 x 1 + x 2 dx " d) x + 1 (3 x + 2) 10 dx ! 8) The base of a solid is an isosceles triangle whose base is 4 feet and height is 5 feet. Crosssections perpendicular to the altitude are semicircles. Find the volume using: a) an integral b) common sense 9) Find the volume of the solid formed when the area between y = 1 1 + x 2 , y = x x + 1 , x = , and x = 1 is revolved about the x – axis....
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This note was uploaded on 05/26/2011 for the course MATH 16B taught by Professor Sarason during the Spring '06 term at Berkeley.
 Spring '06
 Sarason
 Calculus, Shell Method

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