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Popular >

integral of u/1

Solution

\int \frac{u}{1} d u

Solution

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

Solution steps

\int \frac{u}{1} d u

Simplify

= \int u d u

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

derivative of 6x^{-2}+9x^{-1}

\frac{d}{d x} (6 x^{- 2} + 9 x^{- 1})

derivative of 2sqrt(x)-x

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

sum from n=1 to infinity of (n^2)/(e^n)

n = 1 \sum \infty \frac{n ^{2}}{e ^{n}}

6 y^{^{'}} - 2 y = x y^{4}

limit as x approaches infinity of sqrt(x^2-9),+x

x \to \infty lim (x^{2} - 9, + x)

Frequently Asked Questions (FAQ)

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