What is the integral from 1 to 2 of 6/(x^2) ?

The integral from 1 to 2 of 6/(x^2) is 3

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integral from 1 to 2 of 6/(x^2)

\int_{1}^{2} \frac{6}{x ^{2}} d x

3

Solution steps

\int_{1}^{2} \frac{6}{x ^{2}} d x

Take the constant out:

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

= 6 \cdot \int_{1}^{2} \frac{1}{x ^{2}} d x

Apply the Power Rule

= 6 [- \frac{1}{x}]_{1}^{2}

Compute the boundaries:

\frac{1}{2}

= 6 \cdot \frac{1}{2}

Simplify

= 3

What is the integral from 1 to 2 of 6/(x^2) ?
The integral from 1 to 2 of 6/(x^2) is 3