en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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}

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

Add a constant to the solution

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

Popular Examples

integral of 4x^4e^{6x^5}

\int 4 x^{4} e^{6 x^{5}} d x

integral of 1/(x^2-x-12)

\int \frac{1}{x ^{2} - x - 12} d x

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

\int \frac{3 x + 1}{x ^{3} + x} d x

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

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