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Popular >

integral of (x^n)

Solution

\int (x^{n}) d x

Solution

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

Solution steps

\int x^{n} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

taylor xe^{-x^2}taylor

x e^{- x^{2}}

y^{^{'}} = - \frac{1}{2} y + x

integral from 0 to 2 of pi((x-1)^2)^2

\int_{0}^{2} π ((x - 1)^{2})^{2} d x

derivative of y=b^2(a-x)3 derivative of

y = b^{2} (a - x) 3

y^{''}-30y^'+255y=0

y^{^{''}} - 30 y^{^{'}} + 255 y = 0

Frequently Asked Questions (FAQ)

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