en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (5x-3)

Solution

\int (5 x - 3) d x

Solution

\frac{5 x ^{2}}{2} - 3 x + C

Solution steps

\int 5 x - 3 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 5 x d x - \int 3 d x

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 3 d x = 3 x

= \frac{5 x ^{2}}{2} - 3 x

Add a constant to the solution

= \frac{5 x ^{2}}{2} - 3 x + C

Graph

Popular Examples

integral of (2x^2-8x-8)/((x-2)(x^2+4))

\int \frac{2 x ^{2} - 8 x - 8}{( x - 2 ) ( x ^{2} + 4 )} d x

integral of (7^{2/3}-x^{2/3})^3

\int (7^{\frac{2}{3}} - x^{\frac{2}{3}})^{3} d x

integral of 3cos^5(2x)

\int 3 cos^{5} (2 x) d x

integral of (ln(x^3))/(x^2)

\int \frac{ln ( x ^{3} )}{x ^{2}} d x

integral of sin(3x-1)

\int sin (3 x - 1) d x

Frequently Asked Questions (FAQ)

What is the integral of (5x-3) ?
The integral of (5x-3) is (5x^2)/2-3x+C