The curve with equation #y = h(x)# passes through the point #(4, 19)#. Given that #h'(x) = 15xsqrtx-40/sqrtx#, find #h(x)#?
1 Answer
Mar 4, 2018
since
the antiderivative or indefinite integral of
therefore
this can be integrated easily by using the inverse of the Power rule
and it comes out as
to find C, we can use the fact that
so
therefore
therefore, the entire function
#h(x) = 6x^(5/2) - 80x^(1/2) - 13#
and you can factorise it more if you want