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Popular >

integral of 3x+2y

Solution

\int 3 x + 2 y d y

Solution

y^{2} + 3 x y + C

Solution steps

\int 3 x + 2 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 2 y d y + \int 3 x d y

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

\int 3 x d y = 3 x y

= y^{2} + 3 x y

Add a constant to the solution

= y^{2} + 3 x y + C

Graph

Popular Examples

y^{''}-8y^'=64t,y(0)=8,y^'(0)=0

y^{^{''}} - 8 y^{^{'}} = 64 t, y (0) = 8, y^{^{'}} (0) = 0

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

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

derivative of ln(ax^2+b)

\frac{d}{d x} (ln (a x^{2} + b))

limit as y approaches 1 of 85

y \to 1 lim (85)

d/(dy)(2e^{xy^2})

\frac{d}{d y} (2 e^{x y^{2}})

Frequently Asked Questions (FAQ)

What is the integral of 3x+2y ?
The integral of 3x+2y is y^2+3xy+C