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Popular >

integral from-1 to 2 of t-6t^2

Solution

\int_{- 1}^{2} t - 6 t^{2} d t

Solution

- \frac{33}{2}

+1

Decimal

- 16.5

Solution steps

\int_{- 1}^{2} t - 6 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_{- 1}^{2} t d t - \int_{- 1}^{2} 6 t^{2} d t

\int_{- 1}^{2} t d t = \frac{3}{2}

\int_{- 1}^{2} 6 t^{2} d t = 18

= \frac{3}{2} - 18

Simplify

\frac{3}{2} - 18 : - \frac{33}{2}

= - \frac{33}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of t-6t^2 ?
The integral from-1 to 2 of t-6t^2 is -33/2