need 9 an 10

1. Evaluate the integral and write your answer in simplest fractional form: Jo ,5+3 (1 2x" dx 2. Evaluate the indefinite integral: [xcos(6x)dx 3. Find the volume of the solid, obtained by rotating the region bounded by the given curves about the x-axis: y = vx, y = x . Indicate the method you are using. Write your answer in terms of a. 4. Evaluate the indefinite integral: -dx x Vx' +16 5. Evaluate the indefinite integral: ( 3x+25 x (x + 5 ) 2 dx 6. Determine if the series converges absolutely, conditionally, or not at all: (D)" 7. Find the area of the region enclosed by the graphs of y = x and y - x + 2 and write your answer in simplest fractional form. 8. Determine if the following series converge or diverge by using the appropriate test. (b) 5 n'2" 9. Find the radius and the interval of convergence for the following series: 5 ( x +5 ) " 11=1 10. Find the Taylor polynomial of degree 3 for the function f(x) = sin(6x) centered at a =