What is the integral of (sqrt(x^{11)}) ?

The integral of (sqrt(x^{11)}) is 2/13 x^{13/2}+C

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integral of (sqrt(x^{11)})

\int (x^{11}) d x

\frac{2}{13} x^{\frac{13}{2}} + C

Solution steps

\int x^{11} d x

x^{11} = x^{\frac{11}{2}},

assuming

x \geq 0

= \int x^{\frac{11}{2}} d x

Apply the Power Rule

: \frac{2}{13} x^{\frac{13}{2}}

= \frac{2}{13} x^{\frac{13}{2}}

Add a constant to the solution

= \frac{2}{13} x^{\frac{13}{2}} + C

\frac{d}{d x} (\frac{x}{( x - 4 ) ^{2}})

3 x, \frac{1}{3} x, 0, 4

\frac{d}{d x} (x^{3} ln (1 + x))

\int_{1}^{3} 11 r^{3} ln (r) d r

y^{^{''}} + 25 y = 40 sin (5 t)

What is the integral of (sqrt(x^{11)}) ?
The integral of (sqrt(x^{11)}) is 2/13 x^{13/2}+C