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Popular Calculus >

integral of cos(x)+3

Solution

\int cos (x) + 3 d x

Solution

sin (x) + 3 x + C

Solution steps

\int cos (x) + 3 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 3 d x

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

\int 3 d x = 3 x

= sin (x) + 3 x

Add a constant to the solution

= sin (x) + 3 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of cos(x)+3 ?
The integral of cos(x)+3 is sin(x)+3x+C