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Popular >

integral of 1/100 x

Solution

\int \frac{1}{100} x d x

Solution

\frac{x ^{2}}{200} + C

Solution steps

\int \frac{1}{100} x d x

Take the constant out:

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

= \frac{1}{100} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{100} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{100} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{200}

= \frac{x ^{2}}{200}

Add a constant to the solution

= \frac{x ^{2}}{200} + C

Popular Examples

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\int \frac{2 tan ( x )}{cos ( 2 x )} d x

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\int x^{5} + 7 x d x

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\int 8 x e^{5 x^{2}} d x

integral of (x^2+47)/(x^2+49)

\int \frac{x ^{2} + 47}{x ^{2} + 49} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/100 x ?
The integral of 1/100 x is (x^2)/(200)+C