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

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

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integral of (x+1)cos(x)

integral

(x + 1) cos (x)

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

Solution steps

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

Apply Integration By Parts

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

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

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

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

Simplify

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

Add a constant to the solution

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

\frac{7}{x ^{2}}

- (\frac{( y ^{2} + 1 )}{( 2 x y )})

\frac{2}{s ^{2}}

\frac{1}{( y - y ^{2} )}

\frac{1}{( x \cdot ( e ^{2} ) ^{x} )}

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