1. ( 15 pts) use an appropriate u-substitution to find: 12 )dx. Simplify 3x +1 3 2. ( lopts ) Determine the slope of the tangent to y " y = 12 sin (Tix) sin'(2x) at (#> V2'm). 3. (15 pts) use an appropriate u-substitution to find : In (3 ) sinh ( 2x ) dx . Simplify cosh ( ax ) 4. (10 pts ) Given fix) = 4arctan (JX1 ) X , find fri) . simplify. 5. ( 50 pts) Let R represent the region in the first quadrant bounded by X= 1, y= 2x, and = 8- X". Create solids Q, and Q2 by revolving R about the y-axis and y=-1 , respectively. a) Sketch R. by set up one definite integral that equals the area ofR. c) set up one definite integral that equals the volume of Q,. di set up one definite integral that equals the volume of Qa