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

解答

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

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

求解步骤

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

常数积分:

\int a d x = a x

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

带入上下限计算后得:

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

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

化简

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

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