Answer to Question #348508 in Calculus for Migz

Question

The curve has an equation y = e^x. Compute the area bounded by the

curve from x = 0 to x = 1.

Answer 1

The area bounded by the curve $y=f(x)$ from $x = a$ to $x = b$ can be found out by integration:

$A=\int_a^bf(x)dx.$

We have:

$A=\int_0^1e^xdx=e^x |_0^1=e^1-e^0=e-1.$

Answer: $e-1.$