What is the integral of sqrt(X) ?

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

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Find the Antiderivative square root of X

integral

X

\frac{2}{3} X^{\frac{3}{2}} + C

Solution steps

\int X d X

Apply the Power Rule

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

= \frac{2}{3} X^{\frac{3}{2}}

Add a constant to the solution

= \frac{2}{3} X^{\frac{3}{2}} + C

- \frac{d}{d x} (e^{\frac{- x}{2}})

f (x) = sin (x)

- \frac{d}{d x} (cos^{2} (x))

\int (sec (θ)) d θ

- \frac{d}{d x} y = csc^{2} (x)