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Popular >

integral from-4 to 3 of |x+2|

Solution

\int_{- 4}^{3} ∣ x + 2 ∣ d x

Solution

\frac{29}{2}

+1

Decimal Notation

14.5

Solution steps

\int_{- 4}^{3} ∣ x + 2 ∣ d x

Eliminate Absolutes

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

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

\int_{- 2}^{3} x + 2 d x = \frac{25}{2}

= 2 + \frac{25}{2}

Simplify

2 + \frac{25}{2} : \frac{29}{2}

= \frac{29}{2}

Popular Examples

integral from 1 to 5 of 6/(sqrt(x))

\int_{1}^{5} \frac{6}{x} d x

integral from 0 to 1 of 3x^2(1+x^3)^5

\int_{0}^{1} 3 x^{2} (1 + x^{3})^{5} d x

integral from 2 to 4 of k(1-(x-3)^2)

\int_{2}^{4} k (1 - (x - 3)^{2}) d x

integral from 0 to 5 of 1/5 x^5

\int_{0}^{5} \frac{1}{5} x^{5} d x

integral from-3 to 5 of (1-x-4x^3+3x^4)

\int_{- 3}^{5} (1 - x - 4 x^{3} + 3 x^{4}) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 3 of |x+2| ?
The integral from-4 to 3 of |x+2| is 29/2