What is the integral of (cos(y)+e^{xz}) ?

The integral of (cos(y)+e^{xz}) is sin(y)+e^{xz}y+C

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integral of (cos(y)+e^{xz})

\int (cos (y) + e^{x z}) d y

sin (y) + e^{x z} y + C

Solution steps

\int cos (y) + e^{x z} 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 cos (y) d y + \int e^{x z} d y

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

\int e^{x z} d y = e^{x z} y

= sin (y) + e^{x z} y

Add a constant to the solution

= sin (y) + e^{x z} y + C

What is the integral of (cos(y)+e^{xz}) ?
The integral of (cos(y)+e^{xz}) is sin(y)+e^{xz}y+C