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Popular Calculus >

integral of (2y-2)

Solution

\int (2 y - 2) d y

Solution

y^{2} - 2 y + C

Solution steps

\int 2 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 y d y - \int 2 d y

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

\int 2 d y = 2 y

= y^{2} - 2 y

Add a constant to the solution

= y^{2} - 2 y + C

Graph

Popular Examples

integral of (x^4+1)/(x^3+3x^2+2x)

\int \frac{x ^{4} + 1}{x ^{3} + 3 x ^{2} + 2 x} d x

integral of (x+7)/(sqrt(4-(x-2)^2))

\int \frac{x + 7}{4 - ( x - 2 ) ^{2}} d x

integral of (x^{3/2}+8)^5sqrt(x)

\int (x^{\frac{3}{2}} + 8)^{5} x d x

integral of xye^{yz}

\int x y e^{yz} d z

integral of ((x+1))/((x^2+2x+2))

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

Frequently Asked Questions (FAQ)

What is the integral of (2y-2) ?
The integral of (2y-2) is y^2-2y+C