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Popular >

integral of u/2

Solution

\int \frac{u}{2} d u

Solution

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

Solution steps

\int \frac{u}{2} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{2} \cdot \int u d u

Apply the Power Rule

: \frac{u ^{2}}{2}

= \frac{1}{2} \cdot \frac{u ^{2}}{2}

Simplify

\frac{1}{2} \cdot \frac{u ^{2}}{2} : \frac{u ^{2}}{4}

= \frac{u ^{2}}{4}

Add a constant to the solution

= \frac{u ^{2}}{4} + C

Popular Examples

integral of t^7e^{t^4}

\int t^{7} e^{t^{4}} d t

integral of x^2*e^{-2x}

\int x^{2} \cdot e^{- 2 x} d x

integral of (3x^2-5sqrt(x))/x

\int \frac{3 x ^{2} - 5 x}{x} d x

limit as x approaches infinity of 2+1/x

x \to \infty lim (2 + \frac{1}{x})

derivative of y=xsin(2x)derivative of

y = x sin (2 x)

Frequently Asked Questions (FAQ)

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