What is the integral from-4 to-2x+2 of 1/9 ?

The integral from-4 to-2x+2 of 1/9 is (-2x+6)/9

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integral from-4 to-2x+2 of 1/9

\int_{- 4}^{- 2 x + 2} \frac{1}{9} d y

\frac{- 2 x + 6}{9}

Solution steps

\int_{- 4}^{- 2 x + 2} \frac{1}{9} d y

Integral of a constant:

\int a d x = a x

= [\frac{1}{9} y]_{- 4}^{- 2 x + 2}

Compute the boundaries:

\frac{1}{9} (- 2 x + 2) + \frac{4}{9}

= \frac{1}{9} (- 2 x + 2) + \frac{4}{9}

Simplify

= \frac{- 2 x + 6}{9}

What is the integral from-4 to-2x+2 of 1/9 ?
The integral from-4 to-2x+2 of 1/9 is (-2x+6)/9