What is the integral from 0 to 6 of-6x^2-18x+324 ?

The integral from 0 to 6 of-6x^2-18x+324 is 1188

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 6 of-6x^2-18x+324

\int_{0}^{6} - 6 x^{2} - 18 x + 324 d x

1188

Solution steps

\int_{0}^{6} - 6 x^{2} - 18 x + 324 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}^{6} 6 x^{2} d x - \int_{0}^{6} 18 x d x + \int_{0}^{6} 324 d x

\int_{0}^{6} 6 x^{2} d x = 432

\int_{0}^{6} 18 x d x = 324

\int_{0}^{6} 324 d x = 1944

= - 432 - 324 + 1944

Simplify

= 1188

\int_{- π}^{0} (π + x) \cdot cos (n x) d x

\int_{- 4}^{- 2} \frac{9}{x ^{2}} d x

\int_{2}^{5} - \frac{6}{x ^{2}} d x

\int_{0}^{2} (1 + x) d x

\int_{0}^{x} (4 - x^{2}) d x

What is the integral from 0 to 6 of-6x^2-18x+324 ?
The integral from 0 to 6 of-6x^2-18x+324 is 1188