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Popular >

integral of 1/(7x^6)

Solution

\int \frac{1}{7 x ^{6}} d x

Solution

- \frac{1}{35 x ^{5}} + C

Solution steps

\int \frac{1}{7 x ^{6}} d x

Take the constant out:

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

= \frac{1}{7} \cdot \int \frac{1}{x ^{6}} d x

Apply the Power Rule

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

= \frac{1}{7} (- \frac{1}{5 x ^{5}})

Simplify

\frac{1}{7} (- \frac{1}{5 x ^{5}}) : - \frac{1}{35 x ^{5}}

= - \frac{1}{35 x ^{5}}

Add a constant to the solution

= - \frac{1}{35 x ^{5}} + C

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limit as x approaches 2 of 2x+2

x \to 2 lim (2 x + 2)

Frequently Asked Questions (FAQ)

What is the integral of 1/(7x^6) ?
The integral of 1/(7x^6) is -1/(35x^5)+C