What is the integral of sqrt((2x)) ?

The integral of sqrt((2x)) is sqrt(2)xsqrt(x)-(sqrt(2))/3 x^{3/2}+C

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integral of sqrt((2x))

\int (2 x) d x

2 x x - \frac{2}{3} x^{\frac{3}{2}} + C

Solution steps

\int 2 x d x

Apply Integration By Parts

= 2 x x - \int \frac{x}{2} d x

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

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

Add a constant to the solution

= 2 x x - \frac{2}{3} x^{\frac{3}{2}} + C

\int x + y d x

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

a re a x^{2} - 43, 5 - 2 x

\int \frac{x ^{2} - 8 x - 13}{( x - 1 ) ^{2} ( x ^{2} + 1 )} d x

a re a 2 x = y^{2}, x + y = 4, x + y = 12

What is the integral of sqrt((2x)) ?
The integral of sqrt((2x)) is sqrt(2)xsqrt(x)-(sqrt(2))/3 x^{3/2}+C