Integral Assignments

Calculus- Integrals 1- Test Name: __________________________________

1) ( 2)(2 5)x x dx+ −∫ 2) 2 3(10 sin )x x dx+∫

3) Given that 2'( ) 3 2 7 and (5) 100 find the function ( )f x x x f f x= − + = (actually find the c)

4) Find the area of the shaded region.

5) 9

6 (6 sin )x x dx∫ (Use Simpson’s rule with n=4)

6) Find the area between the curves of 2 2( ) 2 -3x and ( ) 6 12f x x g x x x= = − + +

7) 5

4 ( )g x

− =∫

8) Use the trapezoid rule to integrate f(x) numerically from 2 to 17 with 5 panels.

x 2 5 8 11 14 17 f(x) -3 5 10 12 8 2