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Popular >

integral from-1 to 3 of |3x-4|

Solution

\int_{- 1}^{3} ∣ 3 x - 4 ∣ d x

Solution

\frac{37}{3}

+1

Solution steps

\int_{- 1}^{3} ∣ 3 x - 4 ∣ d x

Eliminate Absolutes

= \int_{- 1}^{\frac{4}{3}} - 3 x + 4 d x + \int_{\frac{4}{3}}^{3} 3 x - 4 d x

\int_{- 1}^{\frac{4}{3}} - 3 x + 4 d x = \frac{49}{6}

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

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

Simplify

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

= \frac{37}{3}

Popular Examples

integral from 0 to 7 of t*e^{-2t}

\int_{0}^{7} t \cdot e^{- 2 t} d t

integral from 2 to infinity of In(2x-3)

\int_{2}^{\infty} I n (2 x - 3) d x

integral from 0 to 5 of 1/((x-1)^3)

\int_{0}^{5} \frac{1}{( x - 1 ) ^{3}} d x

integral from-1 to 2 of w^2e^{4w}

\int_{- 1}^{2} w^{2} e^{4 w} d w

integral from 3 to 6 of 1/((3x-12)^3)

\int_{3}^{6} \frac{1}{( 3 x - 12 ) ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of |3x-4| ?
The integral from-1 to 3 of |3x-4| is 37/3