What is the integral of x+2x\sqrt{x ?

The integral of x+2x\sqrt{x is (x^2)/2+(2sqrt(d)x^3)/3+C

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integral of x+2x\sqrt{x

\int x + 2 x d x d x

\frac{x ^{2}}{2} + \frac{2 d x ^{3}}{3} + C

Solution steps

\int x + 2 x d x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x d x + \int 2 x d x d x

\int x d x = \frac{x ^{2}}{2}

\int 2 x d x d x = \frac{2 d x ^{3}}{3}

= \frac{x ^{2}}{2} + \frac{2 d x ^{3}}{3}

Add a constant to the solution

= \frac{x ^{2}}{2} + \frac{2 d x ^{3}}{3} + C

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

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

\frac{d}{d x} (x^{\frac{4}{5}} (x - 6)^{2})

\frac{d}{d x} (1 + cot^{2} (x))

x \to 0 lim (\frac{x}{- 2 x ^{4} - 14 x})

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