en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (3x^2+1)

Solution

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

Solution

x^{3} + x + C

Solution steps

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

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

\int 1 d x = x

= x^{3} + x

Add a constant to the solution

= x^{3} + x + C

Popular Examples

derivative of 1/((x-1))derivative of

\frac{1}{( x - 1 )}

integral of (x^2+2x)e^{x^3+3x^2-1}

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

tangent of f(x)=(x-1)^2+1,\at x=-1 tangent of

f (x) = (x - 1)^{2} + 1, at x = - 1

area f(x)=-10x+5,(1,2)area

f (x) = - 10 x + 5, (1, 2)

integral of x^2sqrt(4x^2+1)

\int x^{2} 4 x^{2} + 1 d x

Frequently Asked Questions (FAQ)

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