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Popular >

integral from-3 to 6 of |x-4|

Solution

\int_{- 3}^{6} ∣ x - 4 ∣ d x

Solution

\frac{53}{2}

+1

Decimal

26.5

Solution steps

\int_{- 3}^{6} ∣ x - 4 ∣ d x

Eliminate Absolutes

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

\int_{- 3}^{4} - x + 4 d x = \frac{49}{2}

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

= \frac{49}{2} + 2

Simplify

\frac{49}{2} + 2 : \frac{53}{2}

= \frac{53}{2}

Graph

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\int_{0}^{e} in x d x

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\int_{- 1}^{2} 4 x^{4} d x

integral from 1 to e^8 of ((ln(x))^2)/x

\int_{1}^{e^{8}} \frac{( ln ( x ) ) ^{2}}{x} d x

integral from 0 to 6 of 2x^2

\int_{0}^{6} 2 x^{2} d x

integral from 2 to 3 of (3x^2-(x^4)/4)

\int_{2}^{3} (3 x^{2} - \frac{x ^{4}}{4}) d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 6 of |x-4| ?
The integral from-3 to 6 of |x-4| is 53/2