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 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 .