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Popular >

integral of x^{5/3}

Solution

\int x^{\frac{5}{3}} d x

Solution

\frac{3}{8} x^{\frac{8}{3}} + C

Solution steps

\int x^{\frac{5}{3}} d x

Apply the Power Rule

: \frac{3}{8} x^{\frac{8}{3}}

= \frac{3}{8} x^{\frac{8}{3}}

Add a constant to the solution

= \frac{3}{8} x^{\frac{8}{3}} + C

Popular Examples

integral of sec^2(8x)

\int sec^{2} (8 x) d x

(y*e^{-x})(dy)/(dx)=x

(y \cdot e^{- x}) \frac{d y}{d x} = x

integral from 0 to pi of sqrt(1+cos(2x))

\int_{0}^{π} 1 + cos (2 x) d x

(\partial)/(\partial x)(x+y^2+xy+3)

\frac{\partial}{\partial x} (x + y^{2} + x y + 3)

slope of y=x^3-3 slope

y = x^{3} - 3

Frequently Asked Questions (FAQ)

What is the integral of x^{5/3} ?
The integral of x^{5/3} is 3/8 x^{8/3}+C