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Popular >

integral of x^{1/8}

Solution

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

Solution

\frac{8}{9} x^{\frac{9}{8}} + C

Solution steps

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

Apply the Power Rule

: \frac{8}{9} x^{\frac{9}{8}}

= \frac{8}{9} x^{\frac{9}{8}}

Add a constant to the solution

= \frac{8}{9} x^{\frac{9}{8}} + C

Popular Examples

integral of (2900)/(1+0.25t)

\int \frac{2900}{1 + 0.25 t} d t

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

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

integral of sin^5(x/3)

\int sin^{5} (\frac{x}{3}) d x

integral of 3/(x^2sqrt(36-x^2))

\int \frac{3}{x ^{2} 36 - x ^{2}} d x

integral of ((x-x^2)^3)/(xsqrt(x))

\int \frac{( x - x ^{2} ) ^{3}}{x x} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{1/8} ?
The integral of x^{1/8} is 8/9 x^{9/8}+C