QuestionEvaluate each definite integral.
32. $\int_{-\pi / 2}^{0} \cos x d x$

Studdy Solution
Subtract the value of the antiderivative at the lower limit from the value at the upper limit:
$$\int_{-\pi/2}^{0} \cos x \, dx = \sin(0) - \sin\left(-\frac{\pi}{2}\right)$$ $$= 0 - (-1)$$ $$= 0 + 1$$ $$= 1$$
The value of the definite integral is:
$$\boxed{1}$$