Question

Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the x-axis

Answer 1

So we start by finding an equation for the tangent line I guess, right?
Do you understand how to do that part? :o

Answer 2

\[\Large y_{\tan}\quad=\quad mx+b\]Where the slope of our tangent line is given by:\[\Large m\quad=\quad f'(1)\]

Answer 3

Hmm I guess this one would be easier to integrate with respect to y.