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Popular >

integral of 4x+2

Solution

\int 4 x + 2 d x

Solution

2 x^{2} + 2 x + C

Solution steps

\int 4 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 4 x d x + \int 2 d x

\int 4 x d x = 2 x^{2}

\int 2 d x = 2 x

= 2 x^{2} + 2 x

Add a constant to the solution

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

Popular Examples

derivative of 1/2 e^{x^2}

\frac{d}{d x} (\frac{1}{2} e^{x^{2}})

derivative of (x^2)/(5(1-x))derivative of

\frac{x ^{2}}{5 ( 1 - x )}

tangent of f(x)=2x^2+x-1,\at a=-1 tangent of

f (x) = 2 x^{2} + x - 1, at a = - 1

integral of 9sin(3x)

\int 9 sin (3 x) d x

limit as x approaches-2 of sqrt(x^2-4)

x \to - 2 lim (x^{2} - 4)

Frequently Asked Questions (FAQ)

What is the integral of 4x+2 ?
The integral of 4x+2 is 2x^2+2x+C