Find all the antiderivatives of the following function. $$ f(x)=6 \cos x-4 $$ The antiderivatives of $$ f(x)=6 \cos x-4 $$ are $$ F(x)=\square $$

Question

UpStudy AI · Accepted Answer

The antiderivatives of $$ f(x) = 6 \cos x - 4 $$ can be found by integrating each term separately:

$$
\int (6 \cos x - 4) \, dx = 6 \int \cos x \, dx - 4 \int 1 \, dx = 6 \sin x - 4x + C
$$

where $$ C $$ is the constant of integration.

**Thus, the antiderivatives are:**

$$
F(x) = 6 \sin x - 4x + C
$$
The antiderivatives of $$ f(x) = 6 \cos x - 4 $$ are $$ F(x) = 6 \sin x - 4x + C $$, where $$ C $$ is a constant.

Find all the antiderivatives of the following function. \( f(x)=6 \cos x-4 \) The antiderivatives of \( f(x)=6 \cos x-4 \) are \( F(x)=\square \)