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Popular >

integral of 6y-x-4

Solution

\int 6 y - x - 4 d y

Solution

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

Solution steps

\int 6 y - x - 4 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 4 d y - \int x d y + \int 6 y d y

\int 4 d y = 4 y

\int x d y = x y

\int 6 y d y = 3 y^{2}

= - 4 y - x y + 3 y^{2}

Add a constant to the solution

= - 4 y - x y + 3 y^{2} + C

Popular Examples

limit as x approaches 2 of 1-x

x \to 2 lim (1 - x)

integral from 0 to 2 of 6x^3sqrt(x^2+4)

\int_{0}^{2} 6 x^{3} x^{2} + 4 d x

tangent of f(x)=-x^2+2x+4,\at x=4 tangent of

f (x) = - x^{2} + 2 x + 4, at x = 4

integral from 0 to 1 of 1/(e^{3x)}

\int_{0}^{1} \frac{1}{e ^{3 x}} d x

derivative of e^{-ax^2}

\frac{d}{d x} (e^{- a x^{2}})

Frequently Asked Questions (FAQ)

What is the integral of 6y-x-4 ?
The integral of 6y-x-4 is -4y-xy+3y^2+C