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Popular >

integral from-2 to 5 of |t|

Solution

\int_{- 2}^{5} ∣ t ∣ d t

Solution

\frac{29}{2}

+1

Decimal

14.5

Solution steps

\int_{- 2}^{5} ∣ t ∣ d t

Eliminate Absolutes

= \int_{- 2}^{0} - t d t + \int_{0}^{5} t d t

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

\int_{0}^{5} t d t = \frac{25}{2}

= 2 + \frac{25}{2}

Simplify

2 + \frac{25}{2} : \frac{29}{2}

= \frac{29}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 5 of |t| ?
The integral from-2 to 5 of |t| is 29/2