en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3+x^2

Solution

\int 3 + x^{2} d x

Solution

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

Solution steps

\int 3 + x^{2} 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 3 d x + \int x^{2} d x

\int 3 d x = 3 x

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

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

Add a constant to the solution

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

Popular Examples

integral of (x^4)/(x^2+x-2)

\int \frac{x ^{4}}{x ^{2} + x - 2} d x

integral of 6 integral

6

integral of 2x^2+e^x

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

integral of (3x)/(x-5)

\int \frac{3 x}{x - 5} d x

integral of 1/(100+x)

\int \frac{1}{100 + x} d x

Frequently Asked Questions (FAQ)

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