Question

Let R be the shaded region in the first quadrant enclosed by the y-axis and the graphs of `y=sin(x)` and `y=cos(x)`, how do you find the area of R?

Answer 1

`sqrt(2)-1`

Explanation:

`R =int_0^(pi/4)(cos(x)-sin(x))dx = (sin(pi/4)+cos(pi/4))-(sin(0)+cos(0)) = 2sqrt(2)/2-1=sqrt(2)-1`