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Popular Calculus >

integral of-8x+10y-3

Solution

\int - 8 x + 10 y - 3 d y

Solution

- 3 y + 5 y^{2} - 8 x y + C

Solution steps

\int - 8 x + 10 y - 3 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 3 d y + \int 10 y d y - \int 8 x d y

\int 3 d y = 3 y

\int 10 y d y = 5 y^{2}

\int 8 x d y = 8 x y

= - 3 y + 5 y^{2} - 8 x y

Add a constant to the solution

= - 3 y + 5 y^{2} - 8 x y + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-8x+10y-3 ?
The integral of-8x+10y-3 is -3y+5y^2-8xy+C