en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1+2x^2

Solution

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

Solution

x + \frac{2 x ^{3}}{3} + C

Solution steps

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

\int 1 d x = x

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

= x + \frac{2 x ^{3}}{3}

Add a constant to the solution

= x + \frac{2 x ^{3}}{3} + C

Graph

Popular Examples

integral from-3 to 2 of pi(y^2+2y+4)^2

(dy)/(dx)= 1/(sqrt(1-x))

integral of tcsc^2(t)

integral of 6xe^{-x}

integral of 1/(sin(x)cos^5(x))

Frequently Asked Questions (FAQ)

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