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Popular >

integral of x^{n+1}

Solution

\int x^{n + 1} d x

Solution

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

Solution steps

\int x^{n + 1} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral of xsin(1/5 x)

\int x sin (\frac{1}{5} x) d x

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integral from 2 to 5 of t^2ln(3t)

\int_{2}^{5} t^{2} ln (3 t) d t

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\int t^{2} e^{- 18 t} d t

derivative of g(x)=(e^x)/(9e^x+x^2)derivative of

g (x) = \frac{e ^{x}}{9 e ^{x} + x ^{2}}

Frequently Asked Questions (FAQ)

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