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+4

Solution

\int x^{2} + 4 d x

Solution

\frac{x ^{3}}{3} + 4 x + C

Solution steps

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

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

\int 4 d x = 4 x

= \frac{x ^{3}}{3} + 4 x

Add a constant to the solution

= \frac{x ^{3}}{3} + 4 x + C

Popular Examples

derivative of (x-a(x-b)(x-c))

\frac{d}{d x} ((x - a) (x - b) (x - c))

(dy)/(dt)+(4y)/(200+3t)=8

\frac{d y}{d t} + \frac{4 y}{200 + 3 t} = 8

f(x)=2sec^2(x)tan(x)

f (x) = 2 sec^{2} (x) tan (x)

integral of (21)/((x^2-1)^2)

\int \frac{21}{( x ^{2} - 1 ) ^{2}} d x

d/(dt)(e^{-2t}{y}(t))

\frac{d}{d t} (e^{- 2 t} y (t))

Frequently Asked Questions (FAQ)

What is the integral of x^2+4 ?
The integral of x^2+4 is (x^3)/3+4x+C