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Popular >

integral of x^{1/n}

Solution

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

Solution

\frac{n x ^{\frac{1 + n}{n}}}{1 + n} + C

Solution steps

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

Apply the Power Rule

: \frac{n x ^{\frac{1 + n}{n}}}{1 + n}

= \frac{n x ^{\frac{1 + n}{n}}}{1 + n}

Add a constant to the solution

= \frac{n x ^{\frac{1 + n}{n}}}{1 + n} + C

Graph

Popular Examples

integral of x^aln(bx)

\int x^{a} ln (b x) d x

integral of (e^{2x})/(3+e^{2x)}

\int \frac{e ^{2 x}}{3 + e ^{2 x}} d x

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

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

integral of-1+2x

\int - 1 + 2 x d x

integral of (x^4-x)

\int (x^{4} - x) d x

Frequently Asked Questions (FAQ)

What is the integral of x^{1/n} ?
The integral of x^{1/n} is (nx^{(1+n)/n})/(1+n)+C