What is the integral of (x^2,left(sin(x))) ?

The integral of (x^2,left(sin(x))) is ,lfte(-x^2cos(x)-(-2(xsin(x)+cos(x))))+C

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integral of (x^2,left(sin(x)))

\int (x^{2}, l e f t (sin (x))) d x

, l f t e (- x^{2} cos (x) - (- 2 (x sin (x) + cos (x)))) + C

Solution steps

\int x^{2}, l e f t sin (x) d x

Take the constant out:

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

=, l f t e \cdot \int sin (x) x^{2} d x

Apply Integration By Parts

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

=, l f t e (- x^{2} cos (x) - \int - 2 x cos (x) d x)

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

=, l f t e (- x^{2} cos (x) - (- 2 (x sin (x) + cos (x))))

Add a constant to the solution

=, l f t e (- x^{2} cos (x) - (- 2 (x sin (x) + cos (x)))) + C

z \to - 2 lim (\frac{z ^{2} - 9}{z - 3})

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

n = 0 \sum \infty \frac{1}{2 - e ^{n}}

\frac{x ^{2}}{x ^{2}}

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

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