Homework 5.4

Question 2

Calculate 7x dx, given the following. 6 6 X dx = 2.5 Jx2ax- 19 3 x 2 dx = 63 N 3 7x2 dx = 6 (Type an integer or a simplified fraction.)Calculate (6x - 3)2dx, given the following. 5 6 x dx = 61 91 3 x2 dx = NO 4 3 xdx = 5 4 5 (6x - 3) 2 dx = 5Calculate the indicated Riemann sum S,, for the function f(x) = x - 8x - 3. Partition [1,7] into six subintervals of equal length, and let c, = 1, C2 = 3, C3 = 3, C4 = 5, C5 =5, and c6 = 7.Calculate the definite integral by referring to the figure with the indicated areas. C | f ( x ) dx O A b C d X 0 B C D Area A = 1.581 Area C = 5.422 Area B = 2.26 Area D = 1.799 . . . C f ( x ) dx =]Compute L3 and R3 for Graphs A and B. 16- 14- 12- 10- The value of L3 for Graph A is 13 . y=f (x ) (Simplify your answer.) N The value of R3 for Graph A is X N (Simplify your answer.) 10 Graph A 16 - 14- 12- 10- 8- y=g(x X 2 10 Graph BCalculate the indicated Riemann sum S, for the function f(x) = 16 -5x". Partition [ - 5,5] into five subintervals of equal length, and for each subinterval [Xk - 1,XK], let ck = (Xk-1 + Xk) /2. S5Calculate the definite integral by referring to the figure with the indicated areas. O f ( x ) dx A b C X a a B CD Area A = 1.2 Area C = 5.416 Area B = 2.735 Area D = 1.794 . . . f ( x ) dx = ] aa Area A = 1,378 Calculate the definite integral f(x) dx by referring to the figure on the right with the indicated areas. Area B = 2,575 Area C = 3,130 a B C/DI X A b Area D = 1,731 f ( x ) dx = C (Simplify your answer.)