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Popular >

integral of-3x+4y-8

Solution

\int - 3 x + 4 y - 8 d y

Solution

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

Solution steps

\int - 3 x + 4 y - 8 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 8 d y - \int 3 x d y + \int 4 y d y

\int 8 d y = 8 y

\int 3 x d y = 3 x y

\int 4 y d y = 2 y^{2}

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

Add a constant to the solution

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

Popular Examples

integral of (1+7e^x)

\int (1 + 7 e^{x}) d x

integral of 8cos(x)-8sin(x)

\int 8 cos (x) - 8 sin (x) d x

integral of (x-3)/(2x^3-8x)

\int \frac{x - 3}{2 x ^{3} - 8 x} d x

integral of sqrt(1+4x^4-4x^2)

\int 1 + 4 x^{4} - 4 x^{2} d x

integral of (2sin(w)-1)/(cos^2(w))

\int \frac{2 sin ( w ) - 1}{cos ^{2} ( w )} d w

Frequently Asked Questions (FAQ)

What is the integral of-3x+4y-8 ?
The integral of-3x+4y-8 is -8y-3xy+2y^2+C