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Popular >

integral of x^{-1/4}

Solution

\int x^{- \frac{1}{4}} d x

Solution

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

Solution steps

\int x^{- \frac{1}{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

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\int 0.04 e^{0.01 x} d x

integral of xsqrt(2x)

\int x 2 x d x

integral of x/(sqrt(81x^2+64))

\int \frac{x}{81 x ^{2} + 64} d x

integral of x(x+7)^{-3/2}

\int x (x + 7)^{- \frac{3}{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{-1/4} ?
The integral of x^{-1/4} is 4/3 x^{3/4}+C