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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

Popular Examples

(\partial)/(\partial x)(2x^3y+3xy^2)

\frac{\partial}{\partial x} (2 x^{3} y + 3 x y^{2})

integral of 2y^{3/2}

\int 2 y^{\frac{3}{2}} d y

integral of tan(8x+1)

\int tan (8 x + 1) d x

integral of (3arctan(x))/(x^2)

\int \frac{3 arctan ( x )}{x ^{2}} d x

(\partial)/(\partial x)((e^x-2x)cos(y))

\frac{\partial}{\partial x} ((e^{x} - 2 x) cos (y))

Frequently Asked Questions (FAQ)

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