integral from 0 to 0.75 of 2(1-y)

解答

\int_{0}^{0.75} 2 (1 - y) d y

0.9375

求解步骤

\int_{0}^{0.75} 2 (1 - y) d y

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{0}^{0.75} 1 - y d y

使用积分加法定则:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= 2 (\int_{0}^{0.75} 1 d y - \int_{0}^{0.75} y d y)

\int_{0}^{0.75} 1 d y = 0.75

\int_{0}^{0.75} y d y = 0.28125

= 2 (0.75 - 0.28125)

化简

= 0.9375

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