en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^{7/2}

Solution

\int x^{\frac{7}{2}} d x

Solution

\frac{2}{9} x^{\frac{9}{2}} + C

Solution steps

\int x^{\frac{7}{2}} d x

Apply the Power Rule

: \frac{2}{9} x^{\frac{9}{2}}

= \frac{2}{9} x^{\frac{9}{2}}

Add a constant to the solution

= \frac{2}{9} x^{\frac{9}{2}} + C

Graph

Popular Examples

derivative of (3+cos^3(3x)^{-1/3})

\frac{d}{d x} ((3 + cos^{3} (3 x))^{- \frac{1}{3}})

limit as x approaches 3 of 2x^2+6

x \to 3 lim (2 x^{2} + 6)

integral of t/((t^2+1)^{9/2)}

\int \frac{t}{( t ^{2} + 1 ) ^{\frac{9}{2}}} d t

y^{^{'}} = 0.5 - t + 2 y

limit as x approaches-7-of x/(x+7)

x \to - 7 - lim (\frac{x}{x + 7})

Frequently Asked Questions (FAQ)

What is the integral of x^{7/2} ?
The integral of x^{7/2} is 2/9 x^{9/2}+C