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

The integral from 2 to 6 of (x^2-7x+6) is -56/3

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

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

- \frac{56}{3}

Decimal Notation

- 18.66666 \dots

Solution steps

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

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 7 x d x = 112

\int_{2}^{6} 6 d x = 24

= \frac{208}{3} - 112 + 24

Simplify

\frac{208}{3} - 112 + 24 : - \frac{56}{3}

= - \frac{56}{3}

\int \frac{2 p ^{3}}{e ^{p}} d p

\int \frac{a - y}{y} d y

x^{3} + x

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\frac{d}{d x} (\frac{4 x}{x ^{2} + 2})

What is the integral from 2 to 6 of (x^2-7x+6) ?
The integral from 2 to 6 of (x^2-7x+6) is -56/3