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Popular >

integral of x^{-3/4}

Solution

\int x^{- \frac{3}{4}} d x

Solution

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

Solution steps

\int x^{- \frac{3}{4}} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral from 0 to pi of sin^2(3x)

\int_{0}^{π} sin^{2} (3 x) d x

y^{''}+121y=sec(11x),y(0)=-5,y^'(0)=6

y^{^{''}} + 121 y = sec (11 x), y (0) = - 5, y^{^{'}} (0) = 6

(\partial)/(\partial y)(3x(y-1)^{1/3})

\frac{\partial}{\partial y} (3 x (y - 1)^{\frac{1}{3}})

derivative of-(9x/y)

\frac{d}{d x} (- \frac{9 x}{y})

(\partial)/(\partial y)(x^2+ye^x)

\frac{\partial}{\partial y} (x^{2} + y e^{x})

Frequently Asked Questions (FAQ)

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