y$=$cos x

y$=$sin x

Find the area of the region labeled R in the graph above. Note that R is bounded by the x$-$axis, the graph of y$=$sin x and the graph of y$=$cos x on the interval $[0,$ pi$/2].$

To do so$,$ make sure you do $($and show on your paper$)$ the following:

Show a typical $($ith$)$ rectangle on the graph and write the area of the ith rectangle.

Write the limit of the sum that will produce the exact area of the shaded region.

Write this limit of a sum as a definite integral and evaluate the definite integral using the fundamental theorem of calculus.