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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

Popular Examples

taylor e^{-h}+e^h taylor

e^{- h} + e^{h}

derivative of 20(1+e^{10-t})^{-1}derivative of

20 (1 + e^{10 - t})^{- 1}

y^{^{'}} = 8 x y

integral of 4/(x^2sqrt(x^2+25))

\int \frac{4}{x ^{2} x ^{2} + 25} d x

y^'+x^{-1}y=-2x^2y^2,y(1)= 1/2

y^{^{'}} + x^{- 1} y = - 2 x^{2} y^{2}, y (1) = \frac{1}{2}

Frequently Asked Questions (FAQ)

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