What is the integral from 4.3 to 1.2 of 7-2x ?

The integral from 4.3 to 1.2 of 7-2x is -4.65

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integral from 4.3 to 1.2 of 7-2x

\int_{4.3}^{1.2} 7 - 2 x d x

- 4.65

Solution steps

\int_{4.3}^{1.2} 7 - 2 x d x

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

= - \int_{1.2}^{4.3} 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_{1.2}^{4.3} 7 d x - \int_{1.2}^{4.3} 2 x d x)

\int_{1.2}^{4.3} 7 d x = 21.7

\int_{1.2}^{4.3} 2 x d x = 17.05

= - (21.7 - 17.05)

Simplify

= - 4.65

What is the integral from 4.3 to 1.2 of 7-2x ?
The integral from 4.3 to 1.2 of 7-2x is -4.65