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Popular >

integral of 2+2x

Solution

\int 2 + 2 x d x

Solution

2 x + x^{2} + C

Solution steps

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

\int 2 d x = 2 x

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

= 2 x + x^{2}

Add a constant to the solution

= 2 x + x^{2} + C

Graph

Popular Examples

integral from 2 to 3 of (-5)/(x^2-1)

\int_{2}^{3} \frac{- 5}{x ^{2} - 1} d x

derivative of (x+6/(7x^2e^x))

\frac{d}{d x} (\frac{x + 6}{7 x ^{2} e ^{x}})

integral of e^{-x/5}

\int e^{- \frac{x}{5}} d x

derivative of (2/(x^3)^2)

\frac{d}{d x} ((\frac{2}{x ^{3}})^{2})

integral of x^{-8/3}

\int x^{- \frac{8}{3}} d x

Frequently Asked Questions (FAQ)

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