What is the integral of 2xcos(x) ?

The integral of 2xcos(x) is 2(xsin(x)+cos(x))+C

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integral of 2xcos(x)

\int 2 x cos (x) d x

2 (x sin (x) + cos (x)) + C

Solution steps

\int 2 x cos (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int x cos (x) d x

Apply Integration By Parts

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

= 2 (x sin (x) - \int sin (x) d x)

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

= 2 (x sin (x) - (- cos (x)))

Simplify

= 2 (x sin (x) + cos (x))

Add a constant to the solution

= 2 (x sin (x) + cos (x)) + C

(5 x)^{9 x}

\frac{d}{d x} ((ln (\frac{1}{x}))^{3})

\int x + 2 π d x

\int (x + 1) e^{x} d x

\frac{\partial}{\partial x} (x^{2} + 8 x y + y^{2})

What is the integral of 2xcos(x) ?
The integral of 2xcos(x) is 2(xsin(x)+cos(x))+C