Chapter CR, Problem 49CR

  $\left(a\right)$

To determine

To find: The area between the graph of the function $f\left(x\right)=x^3+x+6$ and the $x-$ axis, over $\left[1,5\right]$ .

  $\left(b\right)$

To determine

To find: The average value of the function $f\left(x\right)=x^3+x+6$ over the interval $\left[1,5\right]$ .