Calc Problem #8?
Let the R be the area bounded by the functions f(x) and g(x), in which f(x) = x^3 and g(x) = x+6, on the first quadrant.
Which of the following is its equivalent. Please explain why.
A. 0∫8(x+6 -x^3)dx
B. 0∫8(x^3-x-6)dx
C. 0∫2(x+6-x^3)dx
D. 0∫2(x^3-x-6)dx
E.0∫2(x+6+x^3)dx
Comments
solve the equation
x^3=x+6
==>
x=2
and when 0<x<2,x^3<x+6
so the answer is C
What is #? and what is 8?