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dx is equal to ([.] is g.i.f.)...

dx is equal to ([.] is g.i.f.)

A

10

B

`(28)/(3)`

C

`(29)/(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
2
`I=int _(-10)^(-9)1dx+int_(-9)^(-8)1dx+int_(-8)^(-7)1dx+int_(-7)^(-6)1dx+int_(-6)^(-5)1dx+int_(-5)^(-4)1dx+int_(-4)^(-3)1dx +int_(-3)^(-2)1dx+int_(-2)^(-1)1dx+int_(-1)^(-1//3)1dx+int_(-1//3)^(0)(-1)dx` ltbr. `=9+(x)_(-1)^(-1//3)-(x)_(-1//3)^(0)`
`=9+(-(1)/(3)+1)=(0+(1)/(3))`
`=9+(2)/(3)-(1)/(3)=9+(1)/(3)=(27+1)/(3)=(28)/(3)`
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