What is the integral of-4cos(x) ?

The integral of-4cos(x) is -4sin(x)+C

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integral of-4cos(x)

\int - 4 cos (x) d x

- 4 sin (x) + C

Solution steps

\int - 4 cos (x) d x

Take the constant out:

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

= - 4 \cdot \int cos (x) d x

Use the common integral:

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

= - 4 sin (x)

Add a constant to the solution

= - 4 sin (x) + C

\int_{0}^{2} e^{3 x} d x

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\int_{0}^{1} \frac{1}{v} d v

\int 1 + sec^{2} (x) d x

sec^{2} (x) - 5