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Popular >

integral of 1/(6x^5)

Solution

\int \frac{1}{6 x ^{5}} d x

Solution

- \frac{1}{24 x ^{4}} + C

Solution steps

\int \frac{1}{6 x ^{5}} d x

Take the constant out:

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

= \frac{1}{6} \cdot \int \frac{1}{x ^{5}} d x

Apply the Power Rule

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

= \frac{1}{6} (- \frac{1}{4 x ^{4}})

Simplify

\frac{1}{6} (- \frac{1}{4 x ^{4}}) : - \frac{1}{24 x ^{4}}

= - \frac{1}{24 x ^{4}}

Add a constant to the solution

= - \frac{1}{24 x ^{4}} + C

Popular Examples

derivative of 3*2^{2x+1}derivative of

3 \cdot 2^{2 x + 1}

integral from 0 to 1 of rsqrt(1-r^2)

\int_{0}^{1} r 1 - r^{2} d r

integral of ((x^3)/(x-1))

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

derivative of (1-x^3-3x(1-x)^2)

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

(dy)/(dx)=(x-1)/(3x^2-6x-1)

\frac{d y}{d x} = \frac{x - 1}{3 x ^{2} - 6 x - 1}

Frequently Asked Questions (FAQ)

What is the integral of 1/(6x^5) ?
The integral of 1/(6x^5) is -1/(24x^4)+C