What is the integral of x^2sin(θ) ?

The integral of x^2sin(θ) is 1/3 x^3sin(θ)+C

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integral of x^2sin(θ)

\int x^{2} sin (θ) d x

\frac{1}{3} x^{3} sin (θ) + C

Solution steps

\int x^{2} sin (θ) d x

Take the constant out:

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

= sin (θ) \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= sin (θ) \frac{x ^{3}}{3}

Simplify

sin (θ) \frac{x ^{3}}{3} : \frac{1}{3} x^{3} sin (θ)

= \frac{1}{3} x^{3} sin (θ)

Add a constant to the solution

= \frac{1}{3} x^{3} sin (θ) + C

\int \frac{7 x ^{2}}{( 225 + x ^{2} ) ^{2}} d x

x \to 0 + lim ((5 x^{2}) (ln (x)))

y = \frac{x ^{2} - 1}{x ^{2} + x + 1}, at x = 1

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

\int 64 - 3 x^{2} d x

What is the integral of x^2sin(θ) ?
The integral of x^2sin(θ) is 1/3 x^3sin(θ)+C