en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-3v+5

Solution

integral

- 3 v + 5

Solution

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

Solution steps

\int - 3 v + 5 d v

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int 3 v d v + \int 5 d v

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

\int 5 d v = 5 v

= - \frac{3 v ^{2}}{2} + 5 v

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/((10-2e^2x))

integral of 1/((sin(x)cot^2(x)))

integral of 1/(((x-3)(x+7)))

integral of-5cos(x/2)

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

Frequently Asked Questions (FAQ)

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