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Popular >

integral of x/(x^6)

Solution

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

Solution

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

Solution steps

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

Cancel the common factor:

x

= \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 4cos^5(x)

\int 4 cos^{5} (x) d x

integral of 3t+1

\int 3 t + 1 d t

integral of (ln(x))/(x^{16)}

\int \frac{ln ( x )}{x ^{16}} d x

integral of xsqrt(3-4x)

\int x 3 - 4 x d x

integral of (e^{x+e^x})

\int (e^{x + e^{x}}) d x

Frequently Asked Questions (FAQ)

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