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Popular >

integral of 6x+2

Solution

\int 6 x + 2 d x

Solution

3 x^{2} + 2 x + C

Solution steps

\int 6 x + 2 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 6 x d x + \int 2 d x

\int 6 x d x = 3 x^{2}

\int 2 d x = 2 x

= 3 x^{2} + 2 x

Add a constant to the solution

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

Popular Examples

derivative of (x+2)^3-e^{3x}derivative of

(x + 2)^{3} - e^{3 x}

y^{''}+7y^'+10y=-20te^{4t}

y^{^{''}} + 7 y^{^{'}} + 10 y = - 20 t e^{4 t}

f(x)= 1/(1+e^{-x)}

f (x) = \frac{1}{1 + e ^{- x}}

d/(dt)(1/2 {g}(t)t^2)

\frac{d}{d t} (\frac{1}{2} g (t) t^{2})

x^2(dy)/(dx)y^2=0

x^{2} \frac{d y}{d x} y^{2} = 0

Frequently Asked Questions (FAQ)

What is the integral of 6x+2 ?
The integral of 6x+2 is 3x^2+2x+C