# Areaa. Show that the area between the curve y = 1/x and ## Problem 34PE Chapter 5

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 34PE

Area

a. Show that the area between the curve y = 1/x and the x-axis from x = 10 to x = 20is the same as the area between the curve and the x-axis from x = 1 to x = 2.

b. Show that the area between the curve y = 1/x and the x-axis from ka to kb is the same as the area between the curve and the x-axis from Step-by-Step Solution:

Step 1 of 5</p>Here, we have to show that the area between the curve and the x-axis from to is same as the area between the curve and the x-axis from to .

Step 2 of 5</p>

The area of the region between the curve and the x axis from to is ……..(1) .

Now, let us find for  .

Step 3 of 5</p>

Therefore, we have proved that the area between the curve and the x-axis from to is same as the area between the curve and the x-axis from to .

Step 4 of 5

Step 5 of 5

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