What is the integral of (2sqrt(x)) ?

The integral of (2sqrt(x)) is 4/3 x^{3/2}+C

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integral of (2sqrt(x))

\int (2 x) d x

\frac{4}{3} x^{\frac{3}{2}} + C

Solution steps

\int 2 x d x

Take the constant out:

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

= 2 \cdot \int x d x

Apply the Power Rule

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

= 2 \cdot \frac{2}{3} x^{\frac{3}{2}}

Simplify

2 \cdot \frac{2}{3} x^{\frac{3}{2}} : \frac{4}{3} x^{\frac{3}{2}}

= \frac{4}{3} x^{\frac{3}{2}}

Add a constant to the solution

= \frac{4}{3} x^{\frac{3}{2}} + C

x \to 0 lim (9^{x})

\frac{s}{s ^{2} + 2 s - 3}

\int 11 y d y

f (x) = x cos (x) - sin (x)

\frac{d}{d x} (ln (x^{2}) sin (x))

What is the integral of (2sqrt(x)) ?
The integral of (2sqrt(x)) is 4/3 x^{3/2}+C