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Popular Calculus >

integral of x+x

Solution

\int x + x d x

Solution

x^{2} + C

Solution steps

\int x + x d x

Simplify

= \int 2 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int x d x

Apply the Power Rule

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

Simplify

2 \cdot \frac{x ^{2}}{2} : x^{2}

= x^{2}

Add a constant to the solution

= x^{2} + C

Graph

Popular Examples

limit as x approaches infinity of (e^{2x})/(e^{2x)+1}

x \to \infty lim (\frac{e ^{2 x}}{e ^{2 x} + 1})

derivative of f(x)=e^8

d er i v a t i v e f (x) = e^{8}

(\partial)/(\partial y)((xe^y)^2)

\frac{\partial}{\partial y} ((x e^{y})^{2})

limit as x approaches-infinity of 7/x

x \to - \infty lim (\frac{7}{x})

derivative of (ln(5x))^2

d er i v a t i v e (ln (5 x))^{2}

Frequently Asked Questions (FAQ)

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