SOLUTION: Using n = 4 equal-width rectangles, approximate the integral from negative 2 to 2 of the quantity x cubed plus 8, dx. Use the right end-point of each sub-interval to determine the

Algebra ->  Finance -> SOLUTION: Using n = 4 equal-width rectangles, approximate the integral from negative 2 to 2 of the quantity x cubed plus 8, dx. Use the right end-point of each sub-interval to determine the       Log On


   

Question 1029788: Using n = 4 equal-width rectangles, approximate the integral from negative 2 to 2 of the quantity x cubed plus 8, dx. Use the right end-point of each sub-interval to determine the height of each rectangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Break up the number line starting at x=-2 with dx=1.
x=-2%2B1=-1,f%28x%29=x%5E3%2B8=%28-1%29%2B8=7,A%5B1%5D=1%287%29=7
x=-1%2B1=0,f%28x%29=x%5E3%2B8=%280%29%2B8=8,A%5B2%5D=1%288%29=8
x=0%2B1=1,f%28x%29=x%5E3%2B8=%281%29%2B8=9,A%5B3%5D=1%289%29=9
x=1%2B1=2,f%28x%29=x%5E3%2B8=%288%29%2B8=16,A%5B4%5D=1%2816%29=16
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A=A%5B1%5D%2BA%5B2%5D%2BA%5B3%5D%2BA%5B4%5D
A=7%2B8%2B9%2B16
A=40