A curve is represented parametrically by and

MATHEMATICS · Single correct · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

A curve is represented parametrically by

x=e^t\cos t

and

y=e^t\sin t

, where

t

is a parameter. If

f(t)=\int(x+y)\,dt

, then

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

is (1) 1 (2)

-1

(3)

e^{\pi/2}

(4) 0