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Popular Calculus >

integral of cos(x)-1

Solution

integral

cos (x) - 1

Solution

sin (x) - x + C

Solution steps

\int cos (x) - 1 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 cos (x) d x - \int 1 d x

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

\int 1 d x = x

= sin (x) - x

Add a constant to the solution

= sin (x) - x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of cos(x)-1 ?
The integral of cos(x)-1 is sin(x)-x+C