What is the integral from-1.5 to 1 of (2x^2+x-3) ?

The integral from-1.5 to 1 of (2x^2+x-3) is -5.20833…

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integral from-1.5 to 1 of (2x^2+x-3)

\int_{- 1.5}^{1} (2 x^{2} + x - 3) d x

- 5.20833 \dots

Solution steps

\int_{- 1.5}^{1} 2 x^{2} + x - 3 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_{- 1.5}^{1} 2 x^{2} d x + \int_{- 1.5}^{1} x d x - \int_{- 1.5}^{1} 3 d x

\int_{- 1.5}^{1} 2 x^{2} d x = 2.91666 \dots

\int_{- 1.5}^{1} x d x = - 0.625

\int_{- 1.5}^{1} 3 d x = 7.5

= 2.91666 \dots - 0.625 - 7.5

Simplify

= - 5.20833 \dots

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What is the integral from-1.5 to 1 of (2x^2+x-3) ?
The integral from-1.5 to 1 of (2x^2+x-3) is -5.20833…