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Popular >

integral from-1 to 3 of (7-2x)

Solution

\int_{- 1}^{3} (7 - 2 x) d x

Solution

20

Solution steps

\int_{- 1}^{3} 7 - 2 x 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_{- 1}^{3} 7 d x - \int_{- 1}^{3} 2 x d x

\int_{- 1}^{3} 7 d x = 28

\int_{- 1}^{3} 2 x d x = 8

= 28 - 8

Simplify

= 20

Popular Examples

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

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

integral from-2 to 3 of 1-x^2

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

integral from-2 to 2 of 19-|x|^3

\int_{- 2}^{2} 19 - ∣ x ∣^{3} d x

integral from 0 to pi 1/2 of e^{-x^2}

\int_{0}^{π \frac{1}{2}} e^{- x^{2}} d x

integral from-4 to 0 of x^3sqrt(256-x^4)

\int_{- 4}^{0} x^{3} 256 - x^{4} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (7-2x) ?
The integral from-1 to 3 of (7-2x) is 20