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Popular Calculus >

integral of (2+x)

Solution

\int (2 + x) d x

Solution

2 x + \frac{x ^{2}}{2} + C

Solution steps

\int 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 x d x

\int 2 d x = 2 x

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

= 2 x + \frac{x ^{2}}{2}

Add a constant to the solution

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

Graph

Popular Examples

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\frac{d}{d x} (\frac{- 2}{3 x + 7})

sum from n=0 to infinity of (n!)/((2n)!)

n = 0 \sum \infty \frac{n !}{( 2 n ) !}

derivative of y=ln(ln(sqrt(x)))

d er i v a t i v e y = ln (ln (x))

tangent of f(x)=x^3-1.5x^2-90x-22

t an g e n t f (x) = x^{3} - 1.5 x^{2} - 90 x - 22

derivative of sqrt(-5+3x^2)

d er i v a t i v e - 5 + 3 x^{2}

Frequently Asked Questions (FAQ)

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