What is the integral from 1 to 6 of (x^2-7x+6) ?

The integral from 1 to 6 of (x^2-7x+6) is -125/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 6 of (x^2-7x+6)

\int_{1}^{6} (x^{2} - 7 x + 6) d x

- \frac{125}{6}

Decimal Notation

- 20.83333 \dots

Solution steps

\int_{1}^{6} x^{2} - 7 x + 6 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_{1}^{6} x^{2} d x - \int_{1}^{6} 7 x d x + \int_{1}^{6} 6 d x

\int_{1}^{6} x^{2} d x = \frac{215}{3}

\int_{1}^{6} 7 x d x = \frac{245}{2}

\int_{1}^{6} 6 d x = 30

= \frac{215}{3} - \frac{245}{2} + 30

Simplify

\frac{215}{3} - \frac{245}{2} + 30 : - \frac{125}{6}

= - \frac{125}{6}

\int_{- 0.5}^{0} x ln (x + 1) d x

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

\int_{1}^{8} t^{2} - 4 t - 12 d t

\int_{0}^{5} \frac{sin ( x )}{x} d x

\int_{4}^{9} 9 x d x

What is the integral from 1 to 6 of (x^2-7x+6) ?
The integral from 1 to 6 of (x^2-7x+6) is -125/6