What is the integral of cos(x+pi/3) ?

The integral of cos(x+pi/3) is sin(x+pi/3)+C

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integral of cos(x+pi/3)

\int cos (x + \frac{π}{3}) d x

sin (x + \frac{π}{3}) + C

Solution steps

\int cos (x + \frac{π}{3}) 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 + \frac{π}{3}

= sin (x + \frac{π}{3})

Add a constant to the solution

= sin (x + \frac{π}{3}) + C

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