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If f(x)={(x^(2)", if "0 le x le 1),(...

If `f(x)={(x^(2)", if "0 le x le 1),( sqrt(x)", if " 1 le x le 2","):}`
then `int_(0)^(2)f(x)dx=`

A

`(1)/(3)+(4sqrt(2))/(3)`

B

`(4-sqrt(2))/(3)`

C

`(4sqrt(2)-1)/(3)`

D

`(1+4sqrt(2))/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
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