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Popular Calculus >

integral of sqrt(x^4)

Solution

\int x^{4} d x

Solution

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

Solution steps

\int x^{4} d x

x^{4} = x^{2},

assuming

x \geq 0

= \int x^{2} d x

Apply the Power Rule

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

Add a constant to the solution

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

Graph

Popular Examples

integral of-x^{-2}

\int - x^{- 2} d x

integral of 1/(8+5x)

\int \frac{1}{8 + 5 x} d x

derivative of sin(sqrt(x^2-1))

\frac{d}{d x} (sin (x^{2} - 1))

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

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

y^'=(x^2+y^2)/(2xy)

y^{^{'}} = \frac{x ^{2} + y ^{2}}{2 x y}

Frequently Asked Questions (FAQ)

What is the integral of sqrt(x^4) ?
The integral of sqrt(x^4) is (x^3)/3+C