Use Definite Integrals and Fundamental Theorem of Calculus to Find $f ( x ) = \sin x$

Multiple Choice

Use definite integrals and Fundamental Theorem of Calculus to find the exact area of the region between the graphs of $f ( x ) = \sin x$ and $g ( x ) = \cos x$ from x = 0 to x = $\pi$ /2.

A) $\sqrt { 2 } - 2$
B) $2 \sqrt { 2 } - 2$
C) $\sqrt { 2 } + 2$
D) $2 \sqrt { 2 } + 2$