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Popular >

integral of x^{3/2}

Solution

integral

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

Solution

\frac{2}{5} x^{\frac{5}{2}} + C

Solution steps

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

Apply the Power Rule

: \frac{2}{5} x^{\frac{5}{2}}

= \frac{2}{5} x^{\frac{5}{2}}

Add a constant to the solution

= \frac{2}{5} x^{\frac{5}{2}} + C

Popular Examples

integral of (2xe^z-y^2sin(x))

\int (2 x e^{z} - y^{2} sin (x)) d x

integral of cos(x)+2x^{1/2}

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

integral of sec^2(pi)x

\int sec^{2} (π) x d x

integral of (1/((sqrt(x))^2)+1/x)

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

integral of (sqrt(x))/((1+x))

\int \frac{x}{( 1 + x )} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{3/2} ?
The integral of x^{3/2} is 2/5 x^{5/2}+C