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Popular >

integral of 1/(x^6)

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

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\frac{d}{d x} (\frac{5 + 3 x - 6 x}{x})

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(\partial)/(\partial x)(x+xy^2)

\frac{\partial}{\partial x} (x + x y^{2})

integral of 1/(sin(x))(cos(x))/(sin(x))

\int \frac{1}{sin ( x )} \frac{cos ( x )}{sin ( x )} d x

limit as h approaches 0 of ((1+h)3-1)/h

h \to 0 lim (\frac{( 1 + h ) 3 - 1}{h})

Frequently Asked Questions (FAQ)

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