What is the integral from 4 to-2 of 1/2 ?

The integral from 4 to-2 of 1/2 is -3

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integral from 4 to-2 of 1/2

\int_{4}^{- 2} \frac{1}{2} d x

- 3

Solution steps

\int_{4}^{- 2} \frac{1}{2} d x

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

= - \int_{- 2}^{4} \frac{1}{2} d x

Integral of a constant:

\int a d x = a x

= - [\frac{1}{2} x]_{- 2}^{4}

Compute the boundaries:

3

= - 3

x^{^{'}} = x + 3

9 x - 6 x

- 3 x^{3}

x \to 0 lim (x^{2} - 1)

\int (3 x^{2} + 9)^{2} d x