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Popular >

integral of x^{1/7}

Solution

\int x^{\frac{1}{7}} d x

Solution

\frac{7}{8} x^{\frac{8}{7}} + C

Solution steps

\int x^{\frac{1}{7}} d x

Apply the Power Rule

: \frac{7}{8} x^{\frac{8}{7}}

= \frac{7}{8} x^{\frac{8}{7}}

Add a constant to the solution

= \frac{7}{8} x^{\frac{8}{7}} + C

Popular Examples

integral of (81)/(x^4+27x)

\int \frac{81}{x ^{4} + 27 x} d x

derivative of-7x^2+400x

\frac{d}{d x} (- 7 x^{2} + 400 x)

y^{''}-4y=8e^{2x}

y^{^{''}} - 4 y = 8 e^{2 x}

limit as x approaches 3 of x+12

x \to 3 lim (x + 12)

integral from 0 to 2pi of sin(θ)

\int_{0}^{2 π} sin (θ) d θ

Frequently Asked Questions (FAQ)

What is the integral of x^{1/7} ?
The integral of x^{1/7} is 7/8 x^{8/7}+C