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Popular >

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

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

= 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

Popular Examples

derivative of y=(2x^5+8)/(x^3)derivative of

y = \frac{2 x ^{5} + 8}{x ^{3}}

integral of 1/((2x^2-x-3))

\int \frac{1}{( 2 x ^{2} - x - 3 )} d x

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

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

integral of 1/(1+21x)

\int \frac{1}{1 + 21 x} d x

derivative of f(x)=e^8 derivative of

f (x) = e^{8}

Frequently Asked Questions (FAQ)

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