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Popular >

integral of x^{8/3}

Solution

\int x^{\frac{8}{3}} d x

Solution

\frac{3}{11} x^{\frac{11}{3}} + C

Solution steps

\int x^{\frac{8}{3}} d x

Apply the Power Rule

: \frac{3}{11} x^{\frac{11}{3}}

= \frac{3}{11} x^{\frac{11}{3}}

Add a constant to the solution

= \frac{3}{11} x^{\frac{11}{3}} + C

Graph

Popular Examples

integral of sec(t)(8sec(t)+3tan(t))

\int sec (t) (8 sec (t) + 3 tan (t)) d t

integral of (5x^2)/(sqrt(2x^3-4))

\int \frac{5 x ^{2}}{2 x ^{3} - 4} d x

integral of (-8x^3)/(x^3+1)

\int \frac{- 8 x ^{3}}{x ^{3} + 1} d x

integral of (3x^2+1)arctan(x)

\int (3 x^{2} + 1) arctan (x) d x

integral of (12x^3)/(2x^4-7)

\int \frac{12 x ^{3}}{2 x ^{4} - 7} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{8/3} ?
The integral of x^{8/3} is 3/11 x^{11/3}+C