en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x^2)/3+1

Solution

\int \frac{x ^{2}}{3} + 1 d x

Solution

\frac{x ^{3}}{9} + x + C

Solution steps

\int \frac{x ^{2}}{3} + 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 \frac{x ^{2}}{3} d x + \int 1 d x

\int \frac{x ^{2}}{3} d x = \frac{x ^{3}}{9}

\int 1 d x = x

= \frac{x ^{3}}{9} + x

Add a constant to the solution

= \frac{x ^{3}}{9} + x + C

Graph

Popular Examples

integral of e^{3x}e^{2x}

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

integral of sin^3(5x)cos^2(5x)

\int sin^{3} (5 x) cos^{2} (5 x) d x

integral of sin^n(x)cos(x)

\int sin^{n} (x) cos (x) d x

integral of e^{2t^2}

\int e^{2 t^{2}} d t

integral of (100)/(1+x^2)

\int \frac{100}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of (x^2)/3+1 ?
The integral of (x^2)/3+1 is (x^3)/9+x+C