How do you use the second fundamental theorem of Calculus to find the derivative of given #int sqrt(6 + r^3) dr# from #[7, x^2]#?
1 Answer
Oct 19, 2016
Explanation:
Let
With that, we have
#=d/dxF(x^2) - d/dxF(7)#
#=sqrt(6+(x^2)^3)(d/dxx^2)-0#
#=2xsqrt(6+x^6)#
where in the second to last step we used the chain rule along with the fact that