What is the integral of x^2cos(x)-2xcos(x) ?

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

integral of x^2cos(x)-2xcos(x)

\int x^{2} cos (x) - 2 x cos (x) d x

x^{2} sin (x) - 2 (- x cos (x) + sin (x)) - 2 (x sin (x) + cos (x)) + C

Solution steps

\int x^{2} cos (x) - 2 x cos (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{2} cos (x) d x - \int 2 x cos (x) d x

\int x^{2} cos (x) d x = x^{2} sin (x) - 2 (- x cos (x) + sin (x))

\int 2 x cos (x) d x = 2 (x sin (x) + cos (x))

= x^{2} sin (x) - 2 (- x cos (x) + sin (x)) - 2 (x sin (x) + cos (x))

Add a constant to the solution

= x^{2} sin (x) - 2 (- x cos (x) + sin (x)) - 2 (x sin (x) + cos (x)) + C

x \to 9 lim (\frac{x - 9}{∣ x - 9 ∣})

x \to 0 lim (ln (x))

in v erse l a pl a ce \frac{5}{( s ^{3} - 10 \cdot s ^{2} )}

\int \frac{x ^{2} + 3 x + 1}{x ^{4} + 5 x ^{2} + 4} d x

\frac{d}{d x} ((3 x^{2} - 10)^{- 10})

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