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For x epsilon(0,(5pi)/2), definite f(x)...

For `x epsilon(0,(5pi)/2)`, definite `f(x)=int_(0)^(x)sqrt(t) sin t dt`. Then `f` has

A

local minimum at `pi and 2pi`

B

local minimum at ` pi ` and local minimum at ` 2 pi`

C

local minimum at `pi` and local minimum at `2pi`

D

local maximum at `pi and 2pi`

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The correct Answer is:
C
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ARIHANT MATHS ENGLISH-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
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  7. Let S(n)=sum(k=1)^(n)n/(n^(2)+kn+k^(2)) and T(n)=sum(k=0)^(n-1)n/(n^(2...

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  12. The integral int(0)^(pi)sqrt(1+4"sin"^(2)x/2-4"sin"x/2)dx is equals to...

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  18. Let p(x) be a function defined on R such that lim(xrarr infty) f (3x...

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  19. int(0)^(pi)[cos x] dx, [ ] denotes the greatest integer function , is ...

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  20. Let I=int(0)^(1)(sinx)/(sqrtx) dx and f= int(0)^(1)( cos x)/(sqrtx) dx...

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