What is the integral of-3cos(x) ?

The integral of-3cos(x) is -3sin(x)+C

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integral of-3cos(x)

\int - 3 cos (x) d x

- 3 sin (x) + C

Solution steps

\int - 3 cos (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 3 \cdot \int cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= - 3 sin (x)

Add a constant to the solution

= - 3 sin (x) + C

\frac{d}{d x} (x^{7} (x - 12)^{5})

\frac{d y}{d x} = \frac{1}{x - x ^{3}}

\frac{\partial}{\partial x} (2 x - 3 y + 5 z)

\int 3^{2 x} cos^{2} (3^{x}) d x

f (x) = x - 3