What is the integral of 1/(sqrt(x^{10))} ?

The integral of 1/(sqrt(x^{10))} is -1/(4x^4)+C

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integral of 1/(sqrt(x^{10))}

\int \frac{1}{x ^{10}} d x

- \frac{1}{4 x ^{4}} + C

Solution steps

\int \frac{1}{x ^{10}} d x

x^{10} = x^{5},

assuming

x \geq 0

= \int \frac{1}{x ^{5}} d x

Apply the Power Rule

: - \frac{1}{4 x ^{4}}

= - \frac{1}{4 x ^{4}}

Add a constant to the solution

= - \frac{1}{4 x ^{4}} + C

\int - x^{6} d x

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\int x - 9 d x

\int (x^{2} - sin (x)) d x

\int x^{4} 10 + x^{5} d x

What is the integral of 1/(sqrt(x^{10))} ?
The integral of 1/(sqrt(x^{10))} is -1/(4x^4)+C