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The least value of the function phi(x)...

The least value of the function
`phi(x)=overset(x)underset(5pi//4)int (3sin t+4 cos t)dt`
on the integral `[5pi//4,4pi//3]`, is
a. `sqrt3+(3)/(2)`
b. `1-2sqrt3+(3)/(2)+(1)/(sqrt2)`
c. `(3)/(2)+(1)/(sqrt2)`
d. None of these

A

`sqrt3+(3)/(2)`

B

`1-2sqrt3+(3)/(2)+(1)/(sqrt2)`

C

`(3)/(2)+(1)/(sqrt2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise For Session 5
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  13. The points of extremum of phi (x)=int(1)^(x)e^(-t^(2//2)) (1-t^(2)) dt...

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