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Popular >

integral from 0 to 2 of-t^2+3t-2

Solution

\int_{0}^{2} - t^{2} + 3 t - 2 d t

Solution

- \frac{2}{3}

+1

Decimal

- 0.66666 \dots

Solution steps

\int_{0}^{2} - t^{2} + 3 t - 2 d t

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}^{2} t^{2} d t + \int_{0}^{2} 3 t d t - \int_{0}^{2} 2 d t

\int_{0}^{2} t^{2} d t = \frac{8}{3}

\int_{0}^{2} 3 t d t = 6

\int_{0}^{2} 2 d t = 4

= - \frac{8}{3} + 6 - 4

Simplify

- \frac{8}{3} + 6 - 4 : - \frac{2}{3}

= - \frac{2}{3}

Graph

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integral from 0 to 3 of 4x^2

\int_{0}^{3} 4 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of-t^2+3t-2 ?
The integral from 0 to 2 of-t^2+3t-2 is -2/3