Sketching graph of a definite trig integral

[lamaclass]

The question says:

The integrand of the definite integral is a difference of two functions. Sketch the graph of each function and shade the region whose area is represented by the integral.

IN, limits b-5pi/4, a-pi/4, [sin x - cos x] dx

I know what the general graphs look like for sin x and cos x and I believe I would shade where the definite integrals are on the graph between where the graphs of the trig functions intersect. Is that correct?

 

[BigGlenntheHeavy]

I think this is what you wanted.

[attachment=0:2e50xwjt]SCREEN01.JPG[/attachment:2e50xwjt]

 

[lamaclass]

Oh wow that's really cool Glenn! That helps me to verify that I had it correct. Thanks!