en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^{-7/4}

Solution

\int x^{- \frac{7}{4}} d x

Solution

- \frac{4}{3 x ^{\frac{3}{4}}} + C

Solution steps

\int x^{- \frac{7}{4}} d x

Apply the Power Rule

: - \frac{4}{3 x ^{\frac{3}{4}}}

= - \frac{4}{3 x ^{\frac{3}{4}}}

Add a constant to the solution

= - \frac{4}{3 x ^{\frac{3}{4}}} + C

Popular Examples

derivative of f(x)= x/(2(x^2+7)^{3/4)}derivative of

f (x) = \frac{x}{2 ( x ^{2} + 7 ) ^{\frac{3}{4}}}

derivative of sin(5x+2)

\frac{d}{d x} (sin (5 x + 2))

derivative of f(x)=(x+1)/x derivative of

f (x) = \frac{x + 1}{x}

derivative of 1/(1+cos(x))

\frac{d}{d x} (\frac{1}{1 + cos ( x )})

derivative of \sqrt[n]{a}derivative of

Frequently Asked Questions (FAQ)

What is the integral of x^{-7/4} ?
The integral of x^{-7/4} is -4/(3x^{3/4)}+C