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Popular >

integral from 4 to 6 of t^2-2t-8

Solution

\int_{4}^{6} t^{2} - 2 t - 8 d t

Solution

\frac{44}{3}

+1

Decimal

14.66666 \dots

Solution steps

\int_{4}^{6} t^{2} - 2 t - 8 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_{4}^{6} t^{2} d t - \int_{4}^{6} 2 t d t - \int_{4}^{6} 8 d t

\int_{4}^{6} t^{2} d t = \frac{152}{3}

\int_{4}^{6} 2 t d t = 20

\int_{4}^{6} 8 d t = 16

= \frac{152}{3} - 20 - 16

Simplify

\frac{152}{3} - 20 - 16 : \frac{44}{3}

= \frac{44}{3}

Graph

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\int_{0}^{1} ln (x^{2} + 5) d x

integral from-8 to 4 of (-2x+8)

\int_{- 8}^{4} (- 2 x + 8) d x

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\int_{0}^{3} (x^{2} - 9) d x

integral from 0 to 6 of-6x^2-18x+324

\int_{0}^{6} - 6 x^{2} - 18 x + 324 d x

Frequently Asked Questions (FAQ)

What is the integral from 4 to 6 of t^2-2t-8 ?
The integral from 4 to 6 of t^2-2t-8 is 44/3