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Popular >

integral of x/2

Solution

integral

\frac{x}{2}

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

Popular Examples

polar (-8,8)cartesian to polar

(- 8, 8)

derivative of f(x)=7x^4-8x^5+1 derivative of

f (x) = 7 x^{4} - 8 x^{5} + 1

perpendicular 2x-3y=5,\at x= 7/2 perpendicular

2 x - 3 y = 5, at x = \frac{7}{2}

slope of 4x+3y=12 slope

4 x + 3 y = 12

derivative of y=ln(sqrt((x+1)/(x-1)))derivative of

y = ln (\frac{x + 1}{x - 1})

Frequently Asked Questions (FAQ)

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