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+5

Solution

\int 3 x^{2} + 5 d x

Solution

x^{3} + 5 x + C

Solution steps

\int 3 x^{2} + 5 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 5 d x

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

\int 5 d x = 5 x

= x^{3} + 5 x

Add a constant to the solution

= x^{3} + 5 x + C

Graph

Popular Examples

(dv}{dt}=\frac{49-10v)/5

\frac{d v}{d t} = \frac{49 - 10 v}{5}

(dy)/(dx)=y(y-1)

\frac{d y}{d x} = y (y - 1)

area y=x,y=3x,y=-x+4 area

y = x, y = 3 x, y = - x + 4

(y+sqrt(xy))dx=xdy

(y + x y) d x = x d y

(\partial)/(\partial x)(sqrt((2x)/(x^2+1)))

\frac{\partial}{\partial x} (\frac{2 x}{x ^{2} + 1})

Frequently Asked Questions (FAQ)

What is the integral of 3x^2+5 ?
The integral of 3x^2+5 is x^3+5x+C