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Popular >

integral of u^{2/3}

Solution

\int u^{\frac{2}{3}} d u

Solution

\frac{3}{5} u^{\frac{5}{3}} + C

Solution steps

\int u^{\frac{2}{3}} d u

Apply the Power Rule

: \frac{3}{5} u^{\frac{5}{3}}

= \frac{3}{5} u^{\frac{5}{3}}

Add a constant to the solution

= \frac{3}{5} u^{\frac{5}{3}} + C

Popular Examples

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\int cos (x^{2} + y^{2}) d x

integral of (6x^3)/((x^4+2)^4)

\int \frac{6 x ^{3}}{( x ^{4} + 2 ) ^{4}} d x

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\int sin (4 x - y) d y

integral of 6x(8-x)

\int 6 x (8 - x) d x

integral of 7x*4^{sqrt(x)}

\int 7 x \cdot 4^{x} d x

Frequently Asked Questions (FAQ)

What is the integral of u^{2/3} ?
The integral of u^{2/3} is 3/5 u^{5/3}+C