What is the integral of sqrt(2)x ?

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

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integral of sqrt(2)x

\int 2 x d x

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

Solution steps

\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 \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

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