Calc Problem #8?

stoneylobster

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

jessica-abolt

solve the equation

x^3=x+6

==>

x=2

and when 0<x<2,x^3<x+6

so the answer is C

bskelkar

What is #? and what is 8?