What is the integral from-1 to 3 of (6xy-5y) ?

The integral from-1 to 3 of (6xy-5y) is -20+24x

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integral from-1 to 3 of (6xy-5y)

\int_{- 1}^{3} (6 x y - 5 y) d y

- 20 + 24 x

Solution steps

\int_{- 1}^{3} 6 x y - 5 y 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

= - \int_{- 1}^{3} 5 y d y + \int_{- 1}^{3} 6 x y d y

\int_{- 1}^{3} 5 y d y = 20

\int_{- 1}^{3} 6 x y d y = 24 x

= - 20 + 24 x

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What is the integral from-1 to 3 of (6xy-5y) ?
The integral from-1 to 3 of (6xy-5y) is -20+24x