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Question
The area bounded by the curve y = tan x, X-axis and the line x = `pi/(4)` is ______.
Options
`1/2` log 2 sq units
log 2 sq units
2 log 2 sq units
3·log 2 sq units
Solution
The area bounded by the curve y = tan x, X-axis and the line x = `pi/(4)` is `bbunderline(1/2 log 2 "sq units")`.
Explanation:
Required area = `int_0^(pi/4) tan dx`
= `log |sec x|_0^(pi/4)`
= `log sqrt2`
= `1/2` log 2 sq units.
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