en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^5x

Solution

\int x^{5} x d x

Solution

\frac{x ^{7}}{7} + C

Solution steps

\int x^{5} x d x

Simplify

x^{5} x : x^{6}

= \int x^{6} d x

Apply the Power Rule

: \frac{x ^{7}}{7}

= \frac{x ^{7}}{7}

Add a constant to the solution

= \frac{x ^{7}}{7} + C

Graph

Popular Examples

integral of (2e^x)/(e^{2x)-1}

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

integral of (2400x)(sqrt(3+2x))

\int (2400 x) (3 + 2 x) d x

integral of (x^2)/(sqrt(x^2+2x+10))

\int \frac{x ^{2}}{x ^{2} + 2 x + 10} d x

integral of 5xcos(7x)

\int 5 x cos (7 x) d x

integral of x^2-8x

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

Frequently Asked Questions (FAQ)

What is the integral of x^5x ?
The integral of x^5x is (x^7)/7+C