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Popular >

integral of 4x+4

Solution

\int 4 x + 4 d x

Solution

2 x^{2} + 4 x + C

Solution steps

\int 4 x + 4 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 4 d x

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

\int 4 d x = 4 x

= 2 x^{2} + 4 x

Add a constant to the solution

= 2 x^{2} + 4 x + C

Popular Examples

integral from 0 to 4 of xsqrt(19-x^2)

\int_{0}^{4} x 19 - x^{2} d x

integral from 0 to 1/2 of 4/3 (1-x^3)

\int_{0}^{\frac{1}{2}} \frac{4}{3} (1 - x^{3}) d x

integral from 0 to 10 of x^2

\int_{0}^{10} x^{2} d x

derivative of 3+e^{-3x}-3e^{-3x}x

\frac{d}{d x} (3 + e^{- 3 x} - 3 e^{- 3 x} x)

derivative of (-11/(2(x-2)^2)-4/(x-2))

\frac{d}{d x} (\frac{- 11}{2 ( x - 2 ) ^{2}} - \frac{4}{x - 2})

Frequently Asked Questions (FAQ)

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