What is the integral of-acos(x) ?

The integral of-acos(x) is -asin(x)+C

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integral of-acos(x)

\int - a cos (x) d x

- a sin (x) + C

Solution steps

\int - a cos (x) d x

Take the constant out:

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

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

Use the common integral:

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

= - a sin (x)

Add a constant to the solution

= - a sin (x) + C

\frac{d}{d x} (arctan (x^{3} - 1))

\frac{\partial}{\partial x} (- 2 y e^{x^{2} - y^{2}})

e^{- 3 x + 1} + 8

\int \frac{e ^{2 t}}{e ^{2 t} - e ^{- 2 t}} d t

\frac{d}{d x} ((x^{4} + 3 x^{2}) (1 - 5 x))