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Popular >

integral of x/5

Solution

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

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

derivative of 5/(3x)

\frac{d}{d x} (\frac{5}{3 x})

tangent of f(x)=((e^{2x}+1))/(e^x-2)tangent of

f (x) = \frac{( e ^{2 x} + 1 )}{e ^{x} - 2}

tangent of x^4-3x^3+5 tangent of

x^{4} - 3 x^{3} + 5

derivative of y=e^{8/9 x}derivative of

y = e^{\frac{8}{9} x}

integral of t^2e^{-12t}

\int t^{2} e^{- 12 t} d t

Frequently Asked Questions (FAQ)

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