What is the integral from 0 to 0.75 of 2(-y+1) ?

The integral from 0 to 0.75 of 2(-y+1) is 0.9375

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

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

0.9375

Solution steps

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

Take the constant out:

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

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

Apply the Sum Rule:

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

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

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

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

= 2 (- 0.28125 + 0.75)

Simplify

= 0.9375

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What is the integral from 0 to 0.75 of 2(-y+1) ?
The integral from 0 to 0.75 of 2(-y+1) is 0.9375