What is the integral of xsqrt(2) ?

The integral of xsqrt(2) is (x^2)/(sqrt(2))+C

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integral of xsqrt(2)

\int x 2 d x

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

Solution steps

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

Simplify

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

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

Add a constant to the solution

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

z \to 0 lim (\frac{1}{1 + \frac{1}{z}})

4 x^{2}, 40 x - 100, 0, 5

\frac{d y}{d x} + 2 x y^{2} = 0

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

x \to 8 lim (x^{2} - 5 x - 11)

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