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Popular >

integral of 1/(4x^6)

Solution

\int \frac{1}{4 x ^{6}} d x

Solution

- \frac{1}{20 x ^{5}} + C

Solution steps

\int \frac{1}{4 x ^{6}} d x

Take the constant out:

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

= \frac{1}{4} \cdot \int \frac{1}{x ^{6}} d x

Apply the Power Rule

: - \frac{1}{5 x ^{5}}

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

Simplify

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

= - \frac{1}{20 x ^{5}}

Add a constant to the solution

= - \frac{1}{20 x ^{5}} + C

Popular Examples

integral of (((ln(x))^6))/x

\int \frac{( ( ln ( x ) ) ^{6} )}{x} d x

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integral of-x^{-3/2}

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

integral of (1/(x^2)+3)

\int (\frac{1}{x ^{2}} + 3) d x

integral of sqrt(9x)(1/x+x^2)

\int 9 x (\frac{1}{x} + x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(4x^6) ?
The integral of 1/(4x^6) is -1/(20x^5)+C