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Popular >

integral from 2 to 3 of x^2-5x+6

Solution

\int_{2}^{3} x^{2} - 5 x + 6 d x

Solution

- \frac{1}{6}

+1

Decimal Notation

- 0.16666 \dots

Solution steps

\int_{2}^{3} x^{2} - 5 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}^{3} x^{2} d x - \int_{2}^{3} 5 x d x + \int_{2}^{3} 6 d x

\int_{2}^{3} x^{2} d x = \frac{19}{3}

\int_{2}^{3} 5 x d x = \frac{25}{2}

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

= \frac{19}{3} - \frac{25}{2} + 6

Simplify

\frac{19}{3} - \frac{25}{2} + 6 : - \frac{1}{6}

= - \frac{1}{6}

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\int_{1}^{7} ∣ sin (x) ∣ d x

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of x^2-5x+6 ?
The integral from 2 to 3 of x^2-5x+6 is -1/6