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Popular >

integral of x^{2n}

Solution

\int x^{2 n} d x

Solution

\frac{x ^{2 n + 1}}{2 n + 1} + C

Solution steps

\int x^{2 n} d x

Apply the Power Rule

: \frac{x ^{2 n + 1}}{2 n + 1}

= \frac{x ^{2 n + 1}}{2 n + 1}

Add a constant to the solution

= \frac{x ^{2 n + 1}}{2 n + 1} + C

Graph

Popular Examples

derivative of (x^4/8)

\frac{d}{d x} (\frac{x ^{4}}{8})

(\partial)/(\partial x)(e^{4(e^x-1)})

\frac{\partial}{\partial x} (e^{4 (e^{x} - 1)})

limit as x approaches 0 of (1-6x)^{6/x}

x \to 0 lim ((1 - 6 x)^{\frac{6}{x}})

(\partial)/(\partial y)(3x^4y^2+3)

\frac{\partial}{\partial y} (3 x^{4} y^{2} + 3)

y^{3} y^{^{'}} + x^{3} = 0

Frequently Asked Questions (FAQ)

What is the integral of x^{2n} ?
The integral of x^{2n} is (x^{2n+1})/(2n+1)+C