Evaluate the integral. (Assume a at b. Remember to use absolute values where appropriate. Use C for the constant of integration.) [4 dx .. (X + a)(x + b) S Rewrite the rational expression using the method of partial fractions. 2 3 + 1 57 3 - V57 4y2 - 6y - 12 + 4 4 y(y + 2) (y - 3) X y X y + 2 y - 3 Evaluate the integral. 2 4y2 - 6y - 12 dy Ji y(y + 2) (y - 3) 2 In( ly) ) + 3 + 1 57 In (y + 2 ) + 3 - V 57 In (y - 3 + C 4 4 XEvaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) /' 3 dt . (t2 - 9)2 S Find the volume of the resulting solid if the region under the curve 3 y= x2 + 3x + 2 from x = 0 to x = 1 is rotated about the x-axis and the y-axis. (a) x-axis 3 In X (b) y-axisEvaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 1 dx x(x - a)Rewrite the rational expression using the method of partial fractions. (Assume a # b.) 2 1 1 ( x + a)(x + b) x + a x + b Evaluate the integral. (Assume a # b. Remember to use absolute values where appropriate. Use C for the constant of integration.) 2 dx (x + a) (x +b)