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Popular >

integral of 2x-8y

Solution

\int 2 x - 8 y d x

Solution

x^{2} - 8 y x + C

Solution steps

\int 2 x - 8 y d x

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 x d x - \int 8 y d x

\int 2 x d x = x^{2}

\int 8 y d x = 8 y x

= x^{2} - 8 y x

Add a constant to the solution

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

Popular Examples

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

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

integral of 1/(x^2sqrt(9x^2-1))

\int \frac{1}{x ^{2} 9 x ^{2} - 1} d x

integral of tan^3(11pix)

\int tan^{3} (11 π x) d x

derivative of 1/4 sin(2x)

\frac{d}{d x} (\frac{1}{4} sin (2 x))

integral of (x^{1/2})

\int (x^{\frac{1}{2}}) d x

Frequently Asked Questions (FAQ)

What is the integral of 2x-8y ?
The integral of 2x-8y is x^2-8yx+C