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

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

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integral of (1-x)sin(x)

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

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

Solution steps

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

Apply Integration By Parts

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

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

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

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

Add a constant to the solution

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

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