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Popular >

integral of x^{2/3}

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

derivative of f(x)=(sin^2(x))/(x^2)derivative of

f (x) = \frac{sin ^{2} ( x )}{x ^{2}}

(dy)/(dx)=(y-1)^{-3}

\frac{d y}{d x} = (y - 1)^{- 3}

integral of (sin(θ))/(cos^2(θ)-cos(θ)-2)

\int \frac{sin ( θ )}{cos ^{2} ( θ ) - cos ( θ ) - 2} d θ

derivative of y(θ)=cos(θ^2)derivative of

y (θ) = cos (θ^{2})

limit as x approaches infinity of 2x^4

x \to \infty lim (2 x^{4})

Frequently Asked Questions (FAQ)

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