What is the integral of sin(3)x^2 ?

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

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integral of sin(3)x^2

\int sin (3) x^{2} d x

\frac{1}{3} sin (3) x^{3} + C

Solution steps

\int sin (3) x^{2} d x

Take the constant out:

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

= sin (3) \cdot \int x^{2} d x

Apply the Power Rule

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

= sin (3) \frac{x ^{3}}{3}

Simplify

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

= \frac{1}{3} sin (3) x^{3}

Add a constant to the solution

= \frac{1}{3} sin (3) x^{3} + C

\frac{d}{d x} (\frac{x ^{2}}{a ^{2}})

x \to \infty lim (x)

x \to 0 lim (tan^{2} (x))

\int (e^{x} + 1) (x - 4) d x

x \to 1 + lim ((x)^{\frac{1}{x - 1}})

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