Question

This is the entire question:

A curve has the equation y=(x+2)√(x-1).
i)Show that dy/dx = kx/√(x-1) and find k
ii)Hence, evaluate limit 2 to 5
∫ kx/√(x-1)dx

My answer: first part, i have already shown, and k is equals to 3/2

I don't get the second part though, it says evaluate ∫ kx/√(x-1)dx, isnt that equals to ∫ (dy/dx) dx, which is equals to y? o.o

Answer 1

correct. Evaluate y(5)-y(2)