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Popular >

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

Solution

\int_{0}^{4} ∣ 3 x - 7 ∣ d x

Solution

\frac{37}{3}

+1

Decimal Notation

12.33333 \dots

Solution steps

\int_{0}^{4} ∣ 3 x - 7 ∣ d x

Eliminate Absolutes

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

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

\int_{\frac{7}{3}}^{4} 3 x - 7 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 1 to 6 of (1-x)(x-6)

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

integral from-1 to 1 of-60x^2

\int_{- 1}^{1} - 60 x^{2} d x

integral from 0 to 6 of (x+2)^2

\int_{0}^{6} (x + 2)^{2} d x

integral from 4 to 6 of x^2+2x-11

\int_{4}^{6} x^{2} + 2 x - 11 d x

integral from-2 to 1 of e^{u+2}

\int_{- 2}^{1} e^{u + 2} d u

Frequently Asked Questions (FAQ)

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