Find the indefinite integral. (Use $$ C $$ for the constant of integration.) $$ \int \cos ^{2}(x) \sin (x) d x $$

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Calculate the integral $$ \int \cos^{2}(x) \sin(x) dx $$.
Evaluate the integral by following steps:
- step0: Evaluate using formulas and rules:
  $$\int \cos^{2}\left(x\right)\sin\left(x\right) dx$$
- step1: Evaluate the integral:
  $$-\frac{\cos^{2+1}\left(x\right)}{2+1}$$
- step2: Add the numbers:
  $$-\frac{\cos^{3}\left(x\right)}{2+1}$$
- step3: Add the numbers:
  $$-\frac{\cos^{3}\left(x\right)}{3}$$
- step4: Simplify the expression:
  $$-\frac{1}{3}\cos^{3}\left(x\right)$$
- step5: Add the constant of integral C:
  $$-\frac{1}{3}\cos^{3}\left(x\right) + C, C \in \mathbb{R}$$
The indefinite integral of $$ \cos^{2}(x) \sin(x) $$ with respect to $$ x $$ is $$ -\frac{1}{3}\cos^{3}(x) + C $$, where $$ C $$ is the constant of integration.
The integral of $$ \cos^{2}(x) \sin(x) $$ with respect to $$ x $$ is $$ -\frac{1}{3}\cos^{3}(x) + C $$.

Find the indefinite integral. (Use for the constant of integration.)

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