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Popular Calculus >

integral from-2 to 6 of |4x-2|

Solution

\int_{- 2}^{6} ∣ 4 x - 2 ∣ d x

Solution

73

Solution steps

\int_{- 2}^{6} ∣ 4 x - 2 ∣ d x

Eliminate Absolutes

= \int_{- 2}^{\frac{1}{2}} - 4 x + 2 d x + \int_{\frac{1}{2}}^{6} 4 x - 2 d x

\int_{- 2}^{\frac{1}{2}} - 4 x + 2 d x = \frac{25}{2}

\int_{\frac{1}{2}}^{6} 4 x - 2 d x = \frac{121}{2}

= \frac{25}{2} + \frac{121}{2}

Simplify

\frac{25}{2} + \frac{121}{2} : 73

= 73

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 6 of |4x-2| ?
The integral from-2 to 6 of |4x-2| is 73