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The value of int (1)^(2)(x^([x^(2)])+[x^...

The value of `int _(1)^(2)(x^([x^(2)])+[x^(2)]^(x)) d x ` is equal to where `[.]` denotes the greatest integer function

A

`(5)/(4)sqrt3+(2^(sqrt3)-2^(sqrt2)) +(1)/( log 3)(9-3^(sqrt3))`

B

`(5)/(4)+sqrt3+(sqrt2)/(3)+(1)/( log 2) (2^(sqrt3)-2^(sqrt2))+(1)/( log 3)(9-3^(sqrt3))`

C

`(5)/(4)+(sqrt2)/(2)+(1)/(log 2)(2^(sqrt3)-2^(sqrt2))+(1)/(log 3)(9-3^(sqrt3))`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. The total number of distinct x in R for which |{:(x,x^(2),1+x^(3)...

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  6. Let F:RtoR be a thrice differntiable function. Suppose that F(1)=0,F(3...

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  7. Let F:RtoR be a thrice differntiable function. Suppose that F(1)=0,F(3...

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  8. If f(x)=x-[x], where [x] is the greatest integer less than or equal to...

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  12. Match the conditions/ expressions in Column I with statement in Column...

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  16. The value of int(In2)^(In3) (x sinx)dx is

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  17. Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int1...

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  19. For a epsilonR (the set of all real numbers) a!=-1, lim(n to oo) ((1^...

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  20. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

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  21. Which of the following is true?

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