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Popular >

integral of usqrt(u)

Solution

\int u u d u

Solution

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

Solution steps

\int u u d u

Simplify

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

= \int u^{\frac{3}{2}} d u

Apply the Power Rule

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of 5e^x(cos(x-x))

\frac{d}{d x} (5 e^{x} (cos (x) - x))

(\frac{x}{x + 1})^{^{'}}

(\partial)/(\partial x)(e^{x+3y})

\frac{\partial}{\partial x} (e^{x + 3 y})

derivative of 3/5 x^{5/3}-3/4 x^{1/3}+6 derivative of

\frac{3}{5} x^{\frac{5}{3}} - \frac{3}{4} x^{\frac{1}{3}} + 6

derivative of e-e^x+x^e derivative of

e - e^{x} + x^{e}

Frequently Asked Questions (FAQ)

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