Find the area of the region bounded by the parabola y=2x^2 , the tangent line to the parabola at (5,50), and the x-axis

Check the picture below.

so.. the graph looks like so, since the tangent line is at 5,50, it touches the parabola when y = 50, x = 5.

so, let's get the tangent line at that point,



since I don't see an Up/Down function, just a Right/Left one... so, we'll use the function in "y-terms" then, the second one in the graph for each.

now... to get the bounds.... we could make them equal to each other, however, we know that the x-axis( y = 0) is the boundary line at the bottom, and that the tangent line is touching the parabolat a y = 50, thus, our bounds are from 0 to 50.

I’m sorry i can’t u