en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5x+2

Solution

\int 5 x + 2 d x

Solution

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

Solution steps

\int 5 x + 2 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 2 d x

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

integral of 8sin^4(xco)s^2x

\int 8 sin^{4} (x co) s^{2} x d x

integral from 1 to 3 of (3-x^2)-(6-4x)

\int_{1}^{3} (3 - x^{2}) - (6 - 4 x) d x

integral from 1 to 2 of (x^2+6)/(3x-x^2)

\int_{1}^{2} \frac{x ^{2} + 6}{3 x - x ^{2}} d x

integral of sqrt(7x+9)

\int 7 x + 9 d x

integral from 1 to 4 of x^2+1

\int_{1}^{4} x^{2} + 1 d x

Frequently Asked Questions (FAQ)

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