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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

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ln (x x^{2} + 7)

integral of ((cos(x)))/(sin(x))

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

derivative of 1/t derivative of

\frac{1}{t}

derivative of sqrt((x+1/(x-1)))

\frac{d}{d x} (\frac{x + 1}{x - 1})

limit as x approaches 0+of 1+1/x

x \to 0 + lim (1 + \frac{1}{x})

Frequently Asked Questions (FAQ)

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