en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of x^5-x+1

Solution

integral

x^{5} - x + 1

Solution

\frac{x ^{6}}{6} - \frac{x ^{2}}{2} + x + C

Solution steps

\int x^{5} - x + 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{5} d x - \int x d x + \int 1 d x

\int x^{5} d x = \frac{x ^{6}}{6}

\int x d x = \frac{x ^{2}}{2}

\int 1 d x = x

= \frac{x ^{6}}{6} - \frac{x ^{2}}{2} + x

Add a constant to the solution

= \frac{x ^{6}}{6} - \frac{x ^{2}}{2} + x + C

Graph

Popular Examples

integral of e^x*(1/x)

integral of 1/((3t^4+4t^2+1))

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

integral of (e^3x)/3

integral of 7x^2

Frequently Asked Questions (FAQ)

What is the integral of x^5-x+1 ?
The integral of x^5-x+1 is (x^6)/6-(x^2)/2+x+C