Question

Parametric Equation: Find the area enclosed by the x-axis and the curve x=1+e^t, y=t-t^2. Need help with the equation for area.

Answer 1

I got \[int_{0}^{1}(t -t ^{2})(e ^{t}) dt\], when i computed, my answer wasnt right- either i did some math error, or this area equation is wrong.

Answer 2

it helps to draw up the region