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

The integral of sin(x)(x) is -xcos(x)+sin(x)+C

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integral of sin(x)(x)

\int sin (x) (x) d x

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

Solution steps

\int sin (x) x d x

Apply Integration By Parts

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

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

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

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

Simplify

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

Add a constant to the solution

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

\int \frac{( x - 2 )}{( x - 1 )} d x

\int 22 e^{x} d x

\int \frac{e ^{x^{2}} - 1}{x} d x

\frac{d}{d x} (a (2 e^{- x} x - e^{- x} x^{2}))

x \to 1 lim (9 x - 5)

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