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Popular >

integral of x 1/2

Solution

\int x \frac{1}{2} d x

Solution

\frac{x ^{2}}{4} + C

Solution steps

\int x \frac{1}{2} d x

Take the constant out:

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

= \frac{1}{2} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{2} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{2} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{4}

= \frac{x ^{2}}{4}

Add a constant to the solution

= \frac{x ^{2}}{4} + C

Popular Examples

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\frac{d}{d x} (2 x - 5)

(\partial)/(\partial x)(1+arctan(x))

\frac{\partial}{\partial x} (1 + arctan (x))

integral of 1/((x^2-169)^{3/2)}

\int \frac{1}{( x ^{2} - 169 ) ^{\frac{3}{2}}} d x

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\int \frac{cos ( x )}{5 + 4 cos ( x )} d x

derivative of \sqrt[3]{(x^2+1/(x^2-1)})

Frequently Asked Questions (FAQ)

What is the integral of x 1/2 ?
The integral of x 1/2 is (x^2)/4+C