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Popular >

integral of (x/2)

Solution

\int (\frac{x}{2}) d x

Solution

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

Solution steps

\int \frac{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

Graph

Popular Examples

integral of (6x)/((x^2+7)^2)

\int \frac{6 x}{( x ^{2} + 7 ) ^{2}} d x

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\int 6 cos (t) d t

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\int \frac{y}{1 + y ^{2}} d y

integral of 8(x+1)ln(x+1)

\int 8 (x + 1) ln (x + 1) d x

integral of w^2sin(10w)

\int w^{2} sin (10 w) d w

Frequently Asked Questions (FAQ)

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