What is the integral of (2x)/(100) ?

The integral of (2x)/(100) is (x^2)/(100)+C

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integral of (2x)/(100)

\int \frac{2 x}{100} d x

\frac{x ^{2}}{100} + C

Solution steps

\int \frac{2 x}{100} d x

Take the constant out:

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

= \frac{2}{100} \cdot \int x d x

Cancel the common factor:

2

= \frac{1}{50} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{1}{50} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{50} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{100}

= \frac{x ^{2}}{100}

Add a constant to the solution

= \frac{x ^{2}}{100} + C

\frac{d}{d x} ((2 x - 5)^{3})

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\int \frac{2}{( 8 x - 2 ) ( 4 x - 6 ) ( 11 x - 10 )} d x

x \to - 14.5 lim (ln (x^{2} - 9))

\int \frac{2 x}{x ^{2} + 3} d x

What is the integral of (2x)/(100) ?
The integral of (2x)/(100) is (x^2)/(100)+C