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Popular Calculus >

integral of sin(x)+4

Solution

\int sin (x) + 4 d x

Solution

- cos (x) + 4 x + C

Solution steps

\int sin (x) + 4 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 4 d x

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

\int 4 d x = 4 x

= - cos (x) + 4 x

Add a constant to the solution

= - cos (x) + 4 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of sin(x)+4 ?
The integral of sin(x)+4 is -cos(x)+4x+C