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Popular >

integral of 1-x-y

Solution

\int 1 - x - y d y

Solution

y - x y - \frac{y ^{2}}{2} + C

Solution steps

\int 1 - x - y 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 1 d y - \int x d y - \int y d y

\int 1 d y = y

\int x d y = x y

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

= y - x y - \frac{y ^{2}}{2}

Add a constant to the solution

= y - x y - \frac{y ^{2}}{2} + C

Popular Examples

integral of (3x-11)/(x^2-10x+25)

\int \frac{3 x - 11}{x ^{2} - 10 x + 25} d x

integral of 6sec^2(x)-9x^3

\int 6 sec^{2} (x) - 9 x^{3} d x

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

\int (x + 2) (x - 3)^{3} d x

integral of 1/(X^3)

\int \frac{1}{X ^{3}} d X

integral of sec^4(3x+2)

\int sec^{4} (3 x + 2) d x

Frequently Asked Questions (FAQ)

What is the integral of 1-x-y ?
The integral of 1-x-y is y-xy-(y^2)/2+C