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Popular >

integral from-3 to 5 of |x+1|

Solution

\int_{- 3}^{5} ∣ x + 1 ∣ d x

Solution

20

Solution steps

\int_{- 3}^{5} ∣ x + 1 ∣ d x

Eliminate Absolutes

= \int_{- 3}^{- 1} - x - 1 d x + \int_{- 1}^{5} x + 1 d x

\int_{- 3}^{- 1} - x - 1 d x = 2

\int_{- 1}^{5} x + 1 d x = 18

= 2 + 18

Simplify

= 20

Graph

Popular Examples

integral from 0 to 3 of (2)

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

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

\int_{0}^{1} \frac{x}{1 + 2 x ^{2}} d x

integral from 2 to 4 of f(t)

\int_{2}^{4} f (t) d t

integral from 0 to x of t/(t+5)

\int_{0}^{x} \frac{t}{t + 5} d t

integral from 0 to 2 of sqrt(x(2-x))

\int_{0}^{2} x (2 - x) d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 5 of |x+1| ?
The integral from-3 to 5 of |x+1| is 20