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Let I=int(a)^(b)(x^(4)-2x^(2))dx. If I i...

Let `I=int_(a)^(b)(x^(4)-2x^(2))dx`. If I is minimum then the ordered pair (a, b) is:

A

`(0,sqrt(2))`

B

`(sqrt(2),-sqrt(2))`

C

`(-sqrt(2),sqrt(2))`

D

`(-sqrt(2),0)`

Text Solution

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The correct Answer is:
C
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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 3 Part - II
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  16. The value of int(pi/2)^( pi/2) (sin^(2)x)/(1+2^(x)) dx is :

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