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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

limit as x approaches 3 of (x)+(4-x)

x \to 3 lim ((x) + (4 - x))

derivative of f(x)=(1-x)/x derivative of

f (x) = \frac{1 - x}{x}

derivative of xsin(xcos(x))

\frac{d}{d x} (x sin (x) cos (x))

integral of x^{10}

\int x^{10} d x

integral from 0 to 2 of e^{-3x}

\int_{0}^{2} e^{- 3 x} d x

Frequently Asked Questions (FAQ)

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