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Popular Calculus >

integral of-sin(x)+1

Solution

\int - sin (x) + 1 d x

Solution

cos (x) + x + C

Solution steps

\int - sin (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 sin (x) d x + \int 1 d x

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

\int 1 d x = x

= - (- cos (x)) + x

Simplify

= cos (x) + x

Add a constant to the solution

= cos (x) + x + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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