What is the integral from 2 to 8 of (5x^2+3x+5) ?

The integral from 2 to 8 of (5x^2+3x+5) is 960

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 8 of (5x^2+3x+5)

\int_{2}^{8} (5 x^{2} + 3 x + 5) d x

960

Solution steps

\int_{2}^{8} 5 x^{2} + 3 x + 5 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_{2}^{8} 5 x^{2} d x + \int_{2}^{8} 3 x d x + \int_{2}^{8} 5 d x

\int_{2}^{8} 5 x^{2} d x = 840

\int_{2}^{8} 3 x d x = 90

\int_{2}^{8} 5 d x = 30

= 840 + 90 + 30

Simplify

= 960

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

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

\int_{1}^{3} - \frac{1}{4} x + 5 d x

\int_{0}^{8} 4 d x

\int_{0}^{2 π} cos (t) + sin (t) d t

What is the integral from 2 to 8 of (5x^2+3x+5) ?
The integral from 2 to 8 of (5x^2+3x+5) is 960