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Popular >

integral of 1/(x^5)

Solution

integral

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

Solution

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral of (1/x-1/(x^2))

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

integral of ((1-sin(x))/(1+sin(x)))

\int (\frac{1 - sin ( x )}{1 + sin ( x )}) d x

integral of 5ln(6x)

\int 5 ln (6 x) d x

integral of 1/(sqrt(x(x-1)))

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

integral of (ln(x))/(x^{1/3)}

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

Frequently Asked Questions (FAQ)

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