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Popular >

integral from-1 to-3 of (x-4)

Solution

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

Solution

12

Solution steps

\int_{- 1}^{- 3} x - 4 d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 3}^{- 1} x - 4 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{- 3}^{- 1} x d x = - 4

\int_{- 3}^{- 1} 4 d x = 8

= - (- 4 - 8)

Simplify

= 12

Graph

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\int_{0}^{1} \frac{x}{( x + 31 ) ^{2}} d x

integral from 0 to 2 of 3e^{x^2-3x}

\int_{0}^{2} 3 e^{x^{2} - 3 x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to-3 of (x-4) ?
The integral from-1 to-3 of (x-4) is 12