Question

61-63 Sketch the region bounded by the given curves and find the area of the region.
61. $y=1 / x, \quad y=1 / x^{2}, \quad x=2$

Answer 1

The area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.

What is integration?

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

To find the area of the bounded region by the curves(refer to attached picture):

$\rm A= \int\limits^2_1 {(\frac{1}{x}-\frac{1}{x^2}) } \, dx$

After solving:

A = 0.193 square units

Thus, the area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.

Learn more about integration here:

brainly.com/question/18125359

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