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Popular >

integral of xsqrt(x)

Solution

\int x x d x

Solution

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

Solution steps

\int x x d x

Simplify

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

= \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-infinity to 3 of e^{0.0001t}

\int_{- \infty}^{3} e^{0.0001 t} d t

(\partial)/(\partial y)(x/y)

\frac{\partial}{\partial y} (\frac{x}{y})

derivative of e^{ax^8}

\frac{d}{d x} (e^{a x^{8}})

tangent of f(x)=-(4x)/(x^2+1),\at x=-1 tangent of

f (x) = - \frac{4 x}{x ^{2} + 1}, at x = - 1

limit as t approaches 0 of (t^3-3t)/t

t \to 0 lim (\frac{t ^{3} - 3 t}{t})

Frequently Asked Questions (FAQ)

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