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Popular Calculus >

integral of x^{2n+1}

Solution

\int x^{2 n + 1} d x

Solution

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

Solution steps

\int x^{2 n + 1} d x

Apply the Power Rule

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 5^{2x}2

\int 5^{2 x} 2 d x

integral of (x^2)/(1+sqrt(1-x^2))

\int \frac{x ^{2}}{1 + 1 - x ^{2}} d x

integral of ((-x-1))/(x^2+3)

\int \frac{( - x - 1 )}{x ^{2} + 3} d x

integral of xsqrt(8-2x^2)

\int x 8 - 2 x^{2} d x

integral of (-2x+11)/(x^2-8x+25)

\int \frac{- 2 x + 11}{x ^{2} - 8 x + 25} d x

Frequently Asked Questions (FAQ)

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