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Popular >

integral from 0 to 3 of |5t-9|

Solution

\int_{0}^{3} ∣ 5 t - 9 ∣ d t

Solution

\frac{117}{10}

+1

Decimal

11.7

Solution steps

\int_{0}^{3} ∣ 5 t - 9 ∣ d t

Eliminate Absolutes

= \int_{0}^{\frac{9}{5}} - 5 t + 9 d t + \int_{\frac{9}{5}}^{3} 5 t - 9 d t

\int_{0}^{\frac{9}{5}} - 5 t + 9 d t = \frac{81}{10}

\int_{\frac{9}{5}}^{3} 5 t - 9 d t = \frac{18}{5}

= \frac{81}{10} + \frac{18}{5}

Simplify

\frac{81}{10} + \frac{18}{5} : \frac{117}{10}

= \frac{117}{10}

Graph

Popular Examples

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\int_{1}^{2} (\frac{1}{x ^{4}}) d x

integral from-3 to 0 of 5+sqrt(9-x^2)

\int_{- 3}^{0} 5 + 9 - x^{2} d x

integral from 1 to x of (1-x)

\int_{1}^{x} (1 - x) d x

integral from 2 to 7 of 2/(8x-11)

\int_{2}^{7} \frac{2}{8 x - 11} d x

integral from 0 to x of xcos(x+y)

\int_{0}^{x} x cos (x + y) d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |5t-9| ?
The integral from 0 to 3 of |5t-9| is 117/10