Project ForgeGeneral Aptitude
Quantitative Aptitude
GATE 2022
Medium
If f(x) = 2*ln(sqrt(e^x)), what is the area bounded by f(x) for the interval [0,2] on the x-axis?
- A1/2
- B1
- 2
- D4
Explanation
f(x) = 2*ln(sqrt(e^x)) = 2 * (1/2)*ln(e^x) = ln(e^x) = x. So f(x)=x on [0,2] is just a straight line through the origin, and the area bounded (a right triangle with base 2 and height f(2)=2) is (1/2)x2x2 = 2.
Source: GATE ME 2022 Session 2 (ME-2) (2022)
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