en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3+4x

Solution

\int 3 + 4 x d x

Solution

3 x + 2 x^{2} + C

Solution steps

\int 3 + 4 x 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 d x + \int 4 x d x

\int 3 d x = 3 x

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

= 3 x + 2 x^{2}

Add a constant to the solution

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

Popular Examples

integral of 1/(x^4sqrt(4-x^2))

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

integral of (e^{5x})/5

\int \frac{e ^{5 x}}{5} d x

integral from 0 to 1 of (2x)/((x^2+3)^2)

\int_{0}^{1} \frac{2 x}{( x ^{2} + 3 ) ^{2}} d x

tangent of f(x)=(-9x^2)/2+7x+2 tangent of

f (x) = \frac{- 9 x ^{2}}{2} + 7 x + 2

(\partial)/(\partial y)(arctan(x^4y^3))

\frac{\partial}{\partial y} (arctan (x^{4} y^{3}))

Frequently Asked Questions (FAQ)

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