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Popular >

integral of 8x-10y+2

Solution

\int 8 x - 10 y + 2 d y

Solution

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

Solution steps

\int 8 x - 10 y + 2 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 2 d y - \int 10 y d y + \int 8 x d y

\int 2 d y = 2 y

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

\int 8 x d y = 8 x y

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

Add a constant to the solution

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

Popular Examples

integral of (ln(x)cos(x))sin(x)

\int (ln (x) cos (x)) sin (x) d x

y^{^{'}} = \frac{( 1 - 2 t )}{y}

integral from 0 to 4 of (4x^2+7x)

\int_{0}^{4} (4 x^{2} + 7 x) d x

derivative of e^xx^3

\frac{d}{d x} (e^{x} x^{3})

(dy)/(dx)=(((2y+7))/((8x+9)))^2

\frac{d y}{d x} = (\frac{( 2 y + 7 )}{( 8 x + 9 )})^{2}

Frequently Asked Questions (FAQ)

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