Answer
$$0$$
Work Step by Step
We are asked to evaluate the given function using the properties of even and odd functions. We are given:
$$\int_{\frac{-π}{2}}^{\frac{π}{2}} sin(x)cos(x) dx$$
From the graph below, we can see that the function is odd. By knowing that if the limits of integration are the same (but on opposite sides of zero) the area definite integral is zero, we can say that the answer to this question is $0$.
