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Popular Calculus >

integral of 1+sin(y)

Solution

\int 1 + sin (y) d y

Solution

y - cos (y) + C

Solution steps

\int 1 + sin (y) d y

Apply the Sum Rule:

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

= \int 1 d y + \int sin (y) d y

\int 1 d y = y

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

= y - cos (y)

Add a constant to the solution

= y - cos (y) + C

Graph

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Frequently Asked Questions (FAQ)

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