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Popular >

integral of 1/(5x^5)

Solution

\int \frac{1}{5 x ^{5}} d x

Solution

- \frac{1}{20 x ^{4}} + C

Solution steps

\int \frac{1}{5 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 \frac{1}{x ^{5}} d x

Apply the Power Rule

: - \frac{1}{4 x ^{4}}

= \frac{1}{5} (- \frac{1}{4 x ^{4}})

Simplify

\frac{1}{5} (- \frac{1}{4 x ^{4}}) : - \frac{1}{20 x ^{4}}

= - \frac{1}{20 x ^{4}}

Add a constant to the solution

= - \frac{1}{20 x ^{4}} + C

Popular Examples

derivative of f(x)= 1/(3x^2+4x)derivative of

f (x) = \frac{1}{3 x ^{2} + 4 x}

(\partial}{\partial z}(\frac{(3x+y))/z)

\frac{\partial}{\partial z} (\frac{( 3 x + y )}{z})

\frac{d y}{d t} = - y + 5

y^{''}+9y^'=0,y(0)=1,y^'(0)=1

y^{^{''}} + 9 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 1

integral of (sqrt(y^2-9))/y

\int \frac{y ^{2} - 9}{y} d y

Frequently Asked Questions (FAQ)

What is the integral of 1/(5x^5) ?
The integral of 1/(5x^5) is -1/(20x^4)+C