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Evaluate : (i) int(0)^(1)(3sqrt(x^(2))...

Evaluate :
(i) `int_(0)^(1)(3sqrt(x^(2))-4sqrt(x))/(sqrt(x))dx` , (ii) `int_(0)^(1)x cos(tan^(1)x)dx`

Text Solution

Verified by Experts

The correct Answer is:
(i) `-2`, (ii) `sqrt(3) - sqrt(2)`
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Knowledge Check

  • int_(0)^(1)x^(3)sqrt(1-x^(2))dx=

    A
    `(1)/(15)`
    B
    `(22)/(15)`
    C
    `(4)/(15)`
    D
    `(2)/(15)`

  • int_(0)^(1) (dx)/(sqrt(1+x)sqrt(x))=

    A
    `2/3 (sqrt(2)-1)`
    B
    `2/3(sqrt(2)+1)`
    C
    `4/3(sqrt(2)-1)`
    D
    `4/3(sqrt(2)+1)`

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