en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (4x-7)

Solution

\int (4 x - 7) d x

Solution

2 x^{2} - 7 x + C

Solution steps

\int 4 x - 7 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 4 x d x - \int 7 d x

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

\int 7 d x = 7 x

= 2 x^{2} - 7 x

Add a constant to the solution

= 2 x^{2} - 7 x + C

Graph

Popular Examples

derivative of (10x/(1-x))

\frac{d}{d x} (\frac{10 x}{1 - x})

integral of 3/(1+3x)

\int \frac{3}{1 + 3 x} d x

integral from 0 to 5 of (7t)/((t-6)^2)

\int_{0}^{5} \frac{7 t}{( t - 6 ) ^{2}} d t

(dy}{dx}=\frac{4x)/y

\frac{d y}{d x} = \frac{4 x}{y}

tangent of f(x)= 1/(x^3),(-3,-1/27)tangent of

f (x) = \frac{1}{x ^{3}}, (- 3, - \frac{1}{27})

Frequently Asked Questions (FAQ)

What is the integral of (4x-7) ?
The integral of (4x-7) is 2x^2-7x+C