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Popular Calculus >

integral of x^{5/2}

Solution

\int x^{\frac{5}{2}} d x

Solution

\frac{2}{7} x^{\frac{7}{2}} + C

Solution steps

\int x^{\frac{5}{2}} d x

Apply the Power Rule

= \frac{2}{7} x^{\frac{7}{2}}

Add a constant to the solution

= \frac{2}{7} x^{\frac{7}{2}} + C

Graph

Popular Examples

maclaurin ((e^x-e^{-x}))/2

ma c l a u r in \frac{( e ^{x} - e ^{- x} )}{2}

tangent of 4/(sqrt(x))

t an g e n t \frac{4}{x}

tangent of y=sqrt(x),\at x=81

t an g e n t y = x, at x = 81

f^'(x)=xsqrt(7-x^2)

f^{^{'}} (x) = x 7 - x^{2}

limit as x approaches 3 of 77

x \to 3 lim (77)

Frequently Asked Questions (FAQ)

What is the integral of x^{5/2} ?
The integral of x^{5/2} is 2/7 x^{7/2}+C