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

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

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integral of (-cos(x))

\int (- cos (x)) d x

- sin (x) + C

Solution steps

\int - cos (x) d x

Take the constant out:

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

= - \int cos (x) d x

Use the common integral:

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

= - sin (x)

Add a constant to the solution

= - sin (x) + C

f (x) = \frac{1}{2 x + 1}

\frac{d}{d t} (5 cos (2 t))

x \to 0 lim (\frac{tan ( x )}{3 x})

f (x) = - 3 x^{2} - 5 x + 1

\int cos^{4} (t) d t