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Popular Calculus >

integral of sin(x)+y

Solution

\int sin (x) + y d x

Solution

- cos (x) + y x + C

Solution steps

\int sin (x) + y 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 y d x

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

\int y d x = y x

= - cos (x) + y x

Add a constant to the solution

= - cos (x) + y x + C

Graph

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Frequently Asked Questions (FAQ)

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