What is the integral of-2xsin(x) ?

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

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integral of-2xsin(x)

\int - 2 x sin (x) d x

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

Solution steps

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

Apply Integration By Parts

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

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

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

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

Simplify

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

Add a constant to the solution

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

f (x) = 6 x 4 - 3 x, at x = - 2

lo g_{2} (lo g_{2} (x))

(0, 4), (- 2, 0)

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

(t + 4)^{\frac{2}{3}} (2 t^{2} - 3)^{3}

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