Question$\int y^{3} \cos y d y$ (use tabular method

Studdy Solution
The expression is already in its simplest form. We can write our final answer as:
$$\int y^3 \cos y \, dy = y^3 \sin y + 3y^2 \cos y + 6y \sin y - 6 \cos y + C$$
Where $C$ is the constant of integration.
The solution to the indefinite integral $\int y^3 \cos y \, dy$ using the tabular method is:
$$\boxed{y^3 \sin y + 3y^2 \cos y + 6y \sin y - 6 \cos y + C}$$