en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 3 of (3x+2)

Solution

\int_{0}^{3} (3 x + 2) d x

Solution

\frac{39}{2}

+1

Decimal Notation

19.5

Solution steps

\int_{0}^{3} 3 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_{0}^{3} 3 x d x + \int_{0}^{3} 2 d x

\int_{0}^{3} 3 x d x = \frac{27}{2}

\int_{0}^{3} 2 d x = 6

= \frac{27}{2} + 6

Simplify

\frac{27}{2} + 6 : \frac{39}{2}

= \frac{39}{2}

Popular Examples

integral of tan(x

\int tan (d) x d x

(\partial)/(\partial x)((x+1)^2+2(y-1)^2)

\frac{\partial}{\partial x} ((x + 1)^{2} + 2 (y - 1)^{2})

x^2y^'-3xy=4x^6

x^{2} y^{^{'}} - 3 x y = 4 x^{6}

integral of sqrt(16-x)

\int 16 - x d x

integral of (x^5)/(x^6-4)

\int \frac{x ^{5}}{x ^{6} - 4} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (3x+2) ?
The integral from 0 to 3 of (3x+2) is 39/2