en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (8-3x)

Solution

\int (8 - 3 x) d x

Solution

8 x - \frac{3 x ^{2}}{2} + C

Solution steps

\int 8 - 3 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 8 d x - \int 3 x d x

\int 8 d x = 8 x

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

= 8 x - \frac{3 x ^{2}}{2}

Add a constant to the solution

= 8 x - \frac{3 x ^{2}}{2} + C

Graph

Popular Examples

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

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

integral of (x^2-6x+7)/(x^3-4x^2+x+6)

\int \frac{x ^{2} - 6 x + 7}{x ^{3} - 4 x ^{2} + x + 6} d x

integral of (7-x)e^{x/2}

\int (7 - x) e^{\frac{x}{2}} d x

integral of 3/(sqrt(4-e^{2x))}

\int \frac{3}{4 - e ^{2 x}} d x

integral of (3tan(x)-2cos^2(x))/(cos(x))

\int \frac{3 tan ( x ) - 2 cos ^{2} ( x )}{cos ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of (8-3x) ?
The integral of (8-3x) is 8x-(3x^2)/2+C