en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5x+6

Solution

\int 5 x + 6 d x

Solution

\frac{5 x ^{2}}{2} + 6 x + C

Solution steps

\int 5 x + 6 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 6 d x

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

\int 6 d x = 6 x

= \frac{5 x ^{2}}{2} + 6 x

Add a constant to the solution

= \frac{5 x ^{2}}{2} + 6 x + C

Popular Examples

integral of (x-2)(x+1)

\int (x - 2) (x + 1) d x

integral of 6/(sqrt(2-4x^2))

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

integral of sec(4x+2)tan(4x+2)

\int sec (4 x + 2) tan (4 x + 2) d x

integral of 1/(x^2+3x-1)

\int \frac{1}{x ^{2} + 3 x - 1} d x

integral of 8x^{3/2}

\int 8 x^{\frac{3}{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 5x+6 ?
The integral of 5x+6 is (5x^2)/2+6x+C