What is the integral from 2 to x^3 of 1/(x^2) ?

The integral from 2 to x^3 of 1/(x^2) is -1/(x^3)+1/2

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integral from 2 to x^3 of 1/(x^2)

\int_{2}^{x^{3}} \frac{1}{x ^{2}} d x

- \frac{1}{x ^{3}} + \frac{1}{2}

Solution steps

\int_{2}^{x^{3}} \frac{1}{x ^{2}} d x

Apply the Power Rule

= [- \frac{1}{x}]_{2}^{x^{3}}

Compute the boundaries:

- \frac{1}{x ^{3}} + \frac{1}{2}

= - \frac{1}{x ^{3}} + \frac{1}{2}

What is the integral from 2 to x^3 of 1/(x^2) ?
The integral from 2 to x^3 of 1/(x^2) is -1/(x^3)+1/2