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

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

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integral of x^2*cos(x)

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

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

Solution steps

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

Apply Integration By Parts

: x^{2} sin (x) - \int 2 x sin (x) d x

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

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

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

Add a constant to the solution

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

\int \frac{( - 2 x - 6 )}{x ^{3} - 2 x ^{2} - 3 x} d x

ln (49 sin (2) (x))

ln (1 + X)

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

\frac{\partial}{\partial x} (e^{x - y^{2}})

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