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Popular >

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

Solution

\int_{- 5}^{1} ∣ x + 3 ∣ d x

Solution

10

Solution steps

\int_{- 5}^{1} ∣ x + 3 ∣ d x

Eliminate Absolutes

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

\int_{- 5}^{- 3} - x - 3 d x = 2

\int_{- 3}^{1} x + 3 d x = 8

= 2 + 8

Simplify

= 10

Popular Examples

(\partial ^2)/(\partial y^2)(x^2+y^2)

\frac{\partial ^{2}}{\partial y ^{2}} (x^{2} + y^{2})

y^'+9x^{-1}y=x^7,y(1)=8

y^{^{'}} + 9 x^{- 1} y = x^{7}, y (1) = 8

integral of (5x-3)^2(2x-1)

\int (5 x - 3)^{2} (2 x - 1) d x

limit as x approaches 0 of xln(1+1/x)

x \to 0 lim (x ln (1 + \frac{1}{x}))

derivative of (-3x+12)/(2sqrt(6-x))derivative of

\frac{- 3 x + 12}{2 6 - x}

Frequently Asked Questions (FAQ)

What is the integral from-5 to 1 of |x+3| ?
The integral from-5 to 1 of |x+3| is 10