Mathematics

Problem

A curve is represented parametrically by the equations

x = e^t \cos t

and

y = e^t \sin t

, where

t

is a parameter. Then, If

F(t) = \int (x+y) dt

, then the value of

F\left(\frac{\pi}{2}\right) - F(0)

is a. 1 b.

-1

e^{\pi/2}

d. 0