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Popular >

integral of 9(x^3)/(x^7)

Solution

\int 9 \frac{x ^{3}}{x ^{7}} d x

Solution

- \frac{3}{x ^{3}} + C

Solution steps

\int 9 \cdot \frac{x ^{3}}{x ^{7}} d x

Take the constant out:

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

= 9 \cdot \int \frac{x ^{3}}{x ^{7}} d x

Simplify

\frac{x ^{3}}{x ^{7}} : \frac{1}{x ^{4}}

= 9 \cdot \int \frac{1}{x ^{4}} d x

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

= 9 (- \frac{1}{3 x ^{3}})

Simplify

9 (- \frac{1}{3 x ^{3}}) : - \frac{3}{x ^{3}}

= - \frac{3}{x ^{3}}

Add a constant to the solution

= - \frac{3}{x ^{3}} + C

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Frequently Asked Questions (FAQ)

What is the integral of 9(x^3)/(x^7) ?
The integral of 9(x^3)/(x^7) is -3/(x^3)+C