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Popular >

integral of x^{3/2}

Solution

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

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 from 1 to e of ln(14x)

\int_{1}^{e} ln (14 x) d x

integral of (cos^4(x))/(sin^2(x))

\int \frac{cos ^{4} ( x )}{sin ^{2} ( x )} d x

inverse oflaplace ((s^2))/(s^3-1)inverse laplace

\frac{( s ^{2} )}{s ^{3} - 1}

(\partial)/(\partial x)(e^{-(x^2+y^2)})

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

limit as x approaches 8 of x-2

x \to 8 lim (x - 2)

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