Math Snap

STEP 1

1. The problem involves finding the indefinite integral of the function $-\sin x$.
2. We will use basic integration rules for trigonometric functions.

STEP 2

1. Identify the integral form.
2. Apply the integration rule for $-\sin x$.
3. Add the constant of integration.

STEP 3

Recognize the integral form. We need to integrate the function $-\sin x$:
$$\int -\sin x \, dx$$

STEP 4

Apply the integration rule for $-\sin x$. The integral of $\sin x$ is $-\cos x$, so the integral of $-\sin x$ is:
$$\int -\sin x \, dx = \cos x$$

Add the constant of integration $C$ to the result, as this is an indefinite integral:
$$\int -\sin x \, dx = \cos x + C$$ The indefinite integral of $-\sin x$ is:
$$\boxed{\cos x + C}$$