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Popular >

integral of 1/20 x

Solution

\int \frac{1}{20} x d x

Solution

\frac{x ^{2}}{40} + C

Solution steps

\int \frac{1}{20} x d x

Take the constant out:

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

= \frac{1}{20} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{20} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{20} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{40}

= \frac{x ^{2}}{40}

Add a constant to the solution

= \frac{x ^{2}}{40} + C

Popular Examples

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(t - 2)^{2}

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x \to c lim (\frac{x - c}{2 x - 2 c})

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2 (x^{2} + y^{2})^{2} - 25 (x^{2} - y^{2})

Frequently Asked Questions (FAQ)

What is the integral of 1/20 x ?
The integral of 1/20 x is (x^2)/(40)+C