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Popular >

integral of 1-y

Solution

\int 1 - y d y

Solution

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

Solution steps

\int 1 - 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 y d y

\int 1 d y = y

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

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

Add a constant to the solution

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

Popular Examples

derivative of-(x+1)

\frac{d}{d x} (- (x + 1))

derivative of (x^2/(1+4x))

\frac{d}{d x} (\frac{x ^{2}}{1 + 4 x})

integral from-1 to 3 of sqrt(1+(6y+2)^2)

\int_{- 1}^{3} 1 + (6 y + 2)^{2} d y

integral of (a+bx^3)^2

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

derivative of xarccos(x)

\frac{d}{d x} (x arccos (x))

Frequently Asked Questions (FAQ)

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