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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

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS ENGLISH-DEFINITE INTEGRAL-Exercise For Session 5
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  7. The poins of extremum of phi(x)=underset(1)overset(x)inte^(-t^(2)//2)...

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  8. If f(x) is periodic function with period, T, then

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  9. Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...

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  11. Let T >0 be a fixed real number. Suppose f is continuous function such...

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  13. Let f(x) be an odd continuous function which is periodic with period...

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  15. The value of lim(x rarr0)(2int(0)^(cos x ) cos^(-1) (t))/(2x- sin 2 x)...

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  16. If underset(0)overset(x)int (bt cos 4 t - a sin 4t)/( t^(2))dt=(a sin ...

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  17. If f(x)=int0^x{f(t)}^(- 1)dt and int0^1{f(t)}^(- 1)=sqrt(2), then

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  18. Let f be a real-valued function defined on the inverval (-1,1) such th...

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