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 2 of (3x^2+5x)

Solution

\int_{0}^{2} (3 x^{2} + 5 x) d x

Solution

18

Solution steps

\int_{0}^{2} 3 x^{2} + 5 x 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}^{2} 3 x^{2} d x + \int_{0}^{2} 5 x d x

\int_{0}^{2} 3 x^{2} d x = 8

\int_{0}^{2} 5 x d x = 10

= 8 + 10

Simplify

= 18

Popular Examples

integral from 0 to t of sin(w(t-x))

\int_{0}^{t} sin (w (t - x)) d x

integral from 1 to 2 of 1/((x-2)^{1/3)}

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

integral from 0 to 2 of sqrt(1+36x^2)

\int_{0}^{2} 1 + 36 x^{2} d x

integral from 0 to 3 of (8x)/3

\int_{0}^{3} \frac{8 x}{3} d x

integral from 0 to 2 of 16-x^2-2y^2

\int_{0}^{2} 16 - x^{2} - 2 y^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (3x^2+5x) ?
The integral from 0 to 2 of (3x^2+5x) is 18