Question 11 (4 points) Listen Integrate V1 - 4x2 dx using a trigonometric substitution. sin ' (2x) - V1 - 4x2 + C 4 2 sin * (2x) - 2x V 1 - 4x2 + C 4 sin 1 (2x) + 2x V 1 - 4x2 + C 4 01 4 sin (2x) + 7 V1 - 4x2 + C Previous Page Next Page Page 11 oPrevious Page Next Page Calculus 2: Math 2212 Formula Sheet Question 12 (4 points) )Listen Write the form of the partial fraction decomposition of the rational expression. DO NOT find the numerical values of the constants. HINT: factor denominator first. 2 2 8 2x3 - 3x2 + 6x - 9 A Bx + C 2x + 1 3 O A Bx + C 2x - 3 2 2 + 3 O A Bx + C 2x + 3 2 2 3 O A Bx + C 2x - 1 x2 + 3 Previous Page Next Page Page 12 of 27Calculus 2: Math 2212 Formula Sheet Question 9 (4 points) Listen To evaluate the integral / a e "dx using integration by parts, the best choices for u and dv are: Ou = x, dv = edx Ou - er, du - x dx Ou - x, du = e2 dx Ou = ezz, du - x dx Previous Page Next Page Page 9 of 27 Submit Quiz 4 of 27 questions savedQuestion 6 (4 points) Listen Find the volume of the solid of revolution formed when the region under the curve y = * over the interval [0, 1] is revolved about the y axis. V = x O O O OPrevious Page Next Page Page 8 of 27 Calculus 2: Math 2212 Formula Sheet Question 8 (4 points) Listen Find the average value of the function f (2 ) = 2 sin (a:") on the interval 0, V TE 4 O N