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Popular >

integral of x/5

Solution

integral

\frac{x}{5}

Solution

\frac{x ^{2}}{10} + C

Solution steps

\int \frac{x}{5} d x

Take the constant out:

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

= \frac{1}{5} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{5} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{5} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{10}

= \frac{x ^{2}}{10}

Add a constant to the solution

= \frac{x ^{2}}{10} + C

Popular Examples

integral of (cos(2x))/(sin(2x)cos(2x))

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

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

integral of (1/(1+e^{-x)})

\int (\frac{1}{1 + e ^{- x}}) d x

integral of (1/4)/x

\int \frac{\frac{1}{4}}{x} d x

integral of x^2sqrt(x^3-18)

\int x^{2} x^{3} - 18 d x

Frequently Asked Questions (FAQ)

What is the integral of x/5 ?
The integral of x/5 is (x^2)/(10)+C