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Popular >

integral of y-2

Solution

\int y - 2 d y

Solution

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

Solution steps

\int 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 y d y - \int 2 d y

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

\int 2 d y = 2 y

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

Add a constant to the solution

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

Popular Examples

sum from n=1 to infinity of 1/(n^{0.9)}

n = 1 \sum \infty \frac{1}{n ^{0.9}}

\int k x d x

derivative of x+y^3

\frac{d}{d x} (x + y^{3})

limit as x approaches 0 of (tan(7x))^x

x \to 0 lim ((tan (7 x))^{x})

integral of (20x)/(sqrt(5x^2-6))

\int \frac{20 x}{5 x ^{2} - 6} d x

Frequently Asked Questions (FAQ)

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