What is the integral of cos(x+2y) ?

The integral of cos(x+2y) is sin(x+2y)+C

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integral of cos(x+2y)

\int cos (x + 2 y) d x

sin (x + 2 y) + C

Solution steps

\int cos (x + 2 y) d x

Apply u-substitution

: \int cos (u) d u

= \int cos (u) d u

Use the common integral:

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

= sin (u)

Substitute back

u = x + 2 y

= sin (x + 2 y)

Add a constant to the solution

= sin (x + 2 y) + C

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