What is the integral of-3sqrt(x+2x) ?

The integral of-3sqrt(x+2x) is -2sqrt(3)x^{3/2}+C

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integral of-3sqrt(x+2x)

\int - 3 x + 2 x d x

- 23 x^{\frac{3}{2}} + C

Solution steps

\int - 3 x + 2 x d x

Take the constant out:

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

= - 3 \cdot \int x + 2 x d x

Simplify

x + 2 x : 3 x

= - 3 \cdot \int 3 x d x

Take the constant out:

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

= - 33 \cdot \int x d x

Apply the Power Rule

: \frac{2}{3} x^{\frac{3}{2}}

= - 33 \frac{2}{3} x^{\frac{3}{2}}

Simplify

- 33 \frac{2}{3} x^{\frac{3}{2}} : - 23 x^{\frac{3}{2}}

= - 23 x^{\frac{3}{2}}

Add a constant to the solution

= - 23 x^{\frac{3}{2}} + C

n = 0 \sum \infty (2 x + 5)^{n}

5 x^{2} - x^{3}

x \to 0 lim (ln (1 - 7 x))

x = y^{2}, x = 81

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

What is the integral of-3sqrt(x+2x) ?
The integral of-3sqrt(x+2x) is -2sqrt(3)x^{3/2}+C