en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (1+3x^2)

Solution

\int (1 + 3 x^{2}) d x

Solution

x + x^{3} + C

Solution steps

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

\int 1 d x = x

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

= x + x^{3}

Add a constant to the solution

= x + x^{3} + C

Popular Examples

integral of (x^5e^x-6x^4)/(x^5)

\int \frac{x ^{5} e ^{x} - 6 x ^{4}}{x ^{5}} d x

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

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

integral of (-2x^3+x+1)/(x^4+2x^2+1)

\int \frac{- 2 x ^{3} + x + 1}{x ^{4} + 2 x ^{2} + 1} d x

integral of sin(ax)*e^{bx}

\int sin (a x) \cdot e^{b x} d x

integral of (cos(ax)+sin(ax))^2

\int (cos (a x) + sin (a x))^{2} d x

Frequently Asked Questions (FAQ)

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