What is the integral from-5 to 3.5 of-2x^2-3x+35 ?

The integral from-5 to 3.5 of-2x^2-3x+35 is 204.70833…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from-5 to 3.5 of-2x^2-3x+35

\int_{- 5}^{3.5} - 2 x^{2} - 3 x + 35 d x

204.70833 \dots

Solution steps

\int_{- 5}^{3.5} - 2 x^{2} - 3 x + 35 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}^{3.5} 2 x^{2} d x - \int_{- 5}^{3.5} 3 x d x + \int_{- 5}^{3.5} 35 d x

\int_{- 5}^{3.5} 2 x^{2} d x = 111.91666 \dots

\int_{- 5}^{3.5} 3 x d x = - 19.125

\int_{- 5}^{3.5} 35 d x = 297.5

= - 111.91666 \dots - (- 19.125) + 297.5

Simplify

= 204.70833 \dots

\int_{0}^{3} \frac{x}{1 + 7 x ^{2}} d x

\int_{3}^{6} ln (x) d x

\int_{4}^{7} 4 x d x

\int_{- 1}^{1} - 4 x^{5} + 3 x - 2 d x

\int_{0}^{4} 6 x e^{3 x^{2}} d x

What is the integral from-5 to 3.5 of-2x^2-3x+35 ?
The integral from-5 to 3.5 of-2x^2-3x+35 is 204.70833…