What is the integral of 0.5-cos(x) ?

The integral of 0.5-cos(x) is 0.5x-sin(x)+C

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integral of 0.5-cos(x)

\int 0.5 - cos (x) d x

0.5 x - sin (x) + C

Solution steps

\int 0.5 - cos (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 0.5 d x - \int cos (x) d x

\int 0.5 d x = 0.5 x

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

= 0.5 x - sin (x)

Add a constant to the solution

= 0.5 x - sin (x) + C

What is the integral of 0.5-cos(x) ?
The integral of 0.5-cos(x) is 0.5x-sin(x)+C