Question

Symmetry of graphs of sin and cos evaluate definite integral

Answer 1

\[\int\limits_{-\pi/4}^{\pi/4} \sin(x)dx \]

Answer 2

When a graph is symmetrical about the x-axis, the definite integral is 0.

Answer 3

Same integral for cos(x)dx

Answer 4

So no matter the function it will be 0?

Answer 5

cos(x) 9s not symmetrical about the x-axis in that domain.

Answer 6

*is

Answer 7

As long as the function is symmetrical about the x axis in the domain specified, the integral will be 0.

Answer 8

So if i plug in both end points of it i should see this?