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Popular >

integral of (1x)/2

Solution

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

Solution

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

Solution steps

\int \frac{1 \cdot x}{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

integral of (x/(sqrt(x^2+y^2)))

\int (\frac{x}{x ^{2} + y ^{2}}) d x

integral of 4x+7

\int 4 x + 7 d x

integral of (3x+9)/(x^2-4x-5)

\int \frac{3 x + 9}{x ^{2} - 4 x - 5} d x

derivative of x/(4x-3ln(x))

\frac{d}{d x} (\frac{x}{4 x - 3 ln ( x )})

integral of x(sin(x))

\int x (sin (x)) d x

Frequently Asked Questions (FAQ)

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