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Popular >

integral of 1/2 x

Solution

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

Solution

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

Solution steps

\int \frac{1}{2} x 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

Graph

Popular Examples

integral of 1+9/(x^2-4)

\int 1 + \frac{9}{x ^{2} - 4} d x

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integral from-pi to pi of sin(mx)sin(nx)

\int_{- π}^{π} sin (m x) sin (n x) d x

(y^2+4)dx-1/((2x+5)^2)dy=0

(y^{2} + 4) d x - \frac{1}{( 2 x + 5 ) ^{2}} d y = 0

integral from 0 to 1 of (x^2)/(25+x^2)

\int_{0}^{1} \frac{x ^{2}}{25 + x ^{2}} d x

Frequently Asked Questions (FAQ)

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