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Show that the area' bounded by the curve...

Show that the area' bounded by the curve `y = ce^x (c> 0),` the x-axis and two ordinates is proportional to the difference between the ordinates.

A

`f(p) f(q)`

B

`|f(p) - f(q)|`

C

`f(p) + f(q)`

D

`sqrt(f(p) f(q)`

Text Solution

Verified by Experts

The correct Answer is:
B
Required area

` = | int_(q)^(p) ce^(x)dx| = | [ce^(x)]_(q)^(p) | = C|[e^(p) - e^(q)]|`
Hence, area is proprtional to `|f(p) - f(q)|`
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