What is the integral of \sqrt{x ?

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

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integral of \sqrt{x

\int d x d x

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

Solution steps

\int d x d x

Take the constant out:

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

= d \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

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