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Popular >

integral from 0 to 4 of |3t-7|

Solution

\int_{0}^{4} ∣ 3 t - 7 ∣ d t

Solution

\frac{37}{3}

+1

Decimal

12.33333 \dots

Solution steps

\int_{0}^{4} ∣ 3 t - 7 ∣ d t

Eliminate Absolutes

= \int_{0}^{\frac{7}{3}} - 3 t + 7 d t + \int_{\frac{7}{3}}^{4} 3 t - 7 d t

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

\int_{\frac{7}{3}}^{4} 3 t - 7 d t = \frac{25}{6}

= \frac{49}{6} + \frac{25}{6}

Simplify

\frac{49}{6} + \frac{25}{6} : \frac{37}{3}

= \frac{37}{3}

Graph

Popular Examples

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\int_{- 1}^{1} (x + 2)^{2} d x

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\int_{0}^{0.2} 5 x d x

integral from 0 to 1 of (a+bx^2)

\int_{0}^{1} (a + b x^{2}) d x

integral from 3 to 9 of 1/(x-1)

\int_{3}^{9} \frac{1}{x - 1} d x

integral from-5pi to pi of cos^2(x)

\int_{- 5 π}^{π} cos^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of |3t-7| ?
The integral from 0 to 4 of |3t-7| is 37/3