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On the interval [(5pi)/(4),(4pi)/(3)] t...

On the interval `[(5pi)/(4),(4pi)/(3)]` the least value of the function `f(x)=int_(5x//4)^(x)(3sint+4cost)dt` is

A

`(3)/(2)+(1)/(sqrt(2))-2sqrt(3)`

B

`(3)/(2)-(1)/(sqrt(2))+2sqrt(3)`

C

`(3)/(2)-(1)/(sqrt(2))-2sqrt(3)`

D

`(3)/(2)-2sqrt(3)`

Text Solution

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The correct Answer is:
A
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