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^2+5)

Solution

\int (x^{2} + 5) d x

Solution

\frac{x ^{3}}{3} + 5 x + C

Solution steps

\int x^{2} + 5 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^{2} d x + \int 5 d x

\int x^{2} d x = \frac{x ^{3}}{3}

\int 5 d x = 5 x

= \frac{x ^{3}}{3} + 5 x

Add a constant to the solution

= \frac{x ^{3}}{3} + 5 x + C

Graph

Popular Examples

integral of (sqrt(x+1))/x

integral of cos(k)x

derivative of (7x+8)(8x-9)

derivative of y=(sqrt(x))/(4+x)

Frequently Asked Questions (FAQ)

What is the integral of (x^2+5) ?
The integral of (x^2+5) is (x^3)/3+5x+C