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प्रश्न
Area bounded by y = sec2x, x = `π/6`, x = `π/3` and x-axis is ______.
पर्याय
`2/sqrt(3)`
`sqrt(3)/2`
`sqrt(2)/3`
`sqrt(2/3)`
MCQ
रिकाम्या जागा भरा
उत्तर
Area bounded by y = sec2x, x = `π/6`, x = `π/3` and x-axis is `underlinebb(2/sqrt(3))`.
Explanation:
A = `int_(π/6)^(π/3)sec^2xdx`
= `[tanx]_(π/6)^(π/3)`
= `sqrt(3) - 1/sqrt(3)`
= `2/sqrt(3)`
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