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Popular >

integral from 0 to 1 of-x^2+3x-2

Solution

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

Solution

- \frac{5}{6}

+1

Decimal Notation

- 0.83333 \dots

Solution steps

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

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

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

\int_{0}^{1} 2 d x = 2

= - \frac{1}{3} + \frac{3}{2} - 2

Simplify

- \frac{1}{3} + \frac{3}{2} - 2 : - \frac{5}{6}

= - \frac{5}{6}

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of-x^2+3x-2 ?
The integral from 0 to 1 of-x^2+3x-2 is -5/6