What is the integral of (1-x)cos(x) ?

The integral of (1-x)cos(x) is sin(x)(1-x)-cos(x)+C

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integral of (1-x)cos(x)

\int (1 - x) cos (x) d x

sin (x) (1 - x) - cos (x) + C

Solution steps

\int (1 - x) cos (x) d x

Apply Integration By Parts

: sin (x) (1 - x) - \int - sin (x) d x

= sin (x) (1 - x) - \int - sin (x) d x

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

= sin (x) (1 - x) - cos (x)

Add a constant to the solution

= sin (x) (1 - x) - cos (x) + C

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What is the integral of (1-x)cos(x) ?
The integral of (1-x)cos(x) is sin(x)(1-x)-cos(x)+C