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Popular >

integral of x^{-5/4}

Solution

\int x^{- \frac{5}{4}} d x

Solution

- \frac{4}{x ^{\frac{1}{4}}} + C

Solution steps

\int x^{- \frac{5}{4}} d x

Apply the Power Rule

: - \frac{4}{x ^{\frac{1}{4}}}

= - \frac{4}{x ^{\frac{1}{4}}}

Add a constant to the solution

= - \frac{4}{x ^{\frac{1}{4}}} + C

Popular Examples

integral of cos^6(x)

\int cos^{6} (x) d x

(x + \frac{y}{x}) d x - d y = 0

y^'=2y+e^{2x}cos(3x),y(0)=4

y^{^{'}} = 2 y + e^{2 x} cos (3 x), y (0) = 4

derivative of (6x^2+6x+6)/(sqrt(x))derivative of

\frac{6 x ^{2} + 6 x + 6}{x}

integral of sin(4t)

\int sin (4 t) d t

Frequently Asked Questions (FAQ)

What is the integral of x^{-5/4} ?
The integral of x^{-5/4} is -4/(x^{1/4)}+C