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)

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

\int 2 x^{- 3} + \frac{1}{x} - \frac{4}{1 - x ^{2}} d x

\int e^{- x} \cdot arccot (e^{x}) d x

\int x^{2} (x^{3} - 1)^{5} d x

\int \frac{9 x}{4 + x ^{4}} d x

\int 2 x^{3} y^{4} + x d 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