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Popular >

integral of xsqrt(x)

Solution

integral

x 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

Graph

Popular Examples

integral of tan^2(10x)

\int tan^{2} (10 x) d x

integral of 1/(x^2+2x+8)

\int \frac{1}{x ^{2} + 2 x + 8} d x

integral of sqrt(5+4x)

\int 5 + 4 x d x

integral of xtan(5x^2)

\int x tan (5 x^{2}) d x

integral of x(6+sqrt(x))^2

\int x (6 + x)^{2} d x

Frequently Asked Questions (FAQ)

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