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Popular >

integral from 0 to 7/3 of 3t-7

Solution

\int_{0}^{\frac{7}{3}} 3 t - 7 d t

Solution

- \frac{49}{6}

+1

Decimal

- 8.16666 \dots

Solution steps

\int_{0}^{\frac{7}{3}} 3 t - 7 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}^{\frac{7}{3}} 3 t d t - \int_{0}^{\frac{7}{3}} 7 d t

\int_{0}^{\frac{7}{3}} 3 t d t = \frac{49}{6}

\int_{0}^{\frac{7}{3}} 7 d t = \frac{49}{3}

= \frac{49}{6} - \frac{49}{3}

Simplify

\frac{49}{6} - \frac{49}{3} : - \frac{49}{6}

= - \frac{49}{6}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 7/3 of 3t-7 ?
The integral from 0 to 7/3 of 3t-7 is -49/6