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Evaluate int(0)^((1)/(2)) (x^(7))/(sqr...

Evaluate
`int_(0)^((1)/(2)) (x^(7))/(sqrt(1-x^(4))) dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(3)-(11sqrt(15))/(128)`
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Knowledge Check

  • int_(0)^(1) (x^(6))/(sqrt(1-x^(2)))dx=

    A
    `(5pi)/(32)`
    B
    `(5pi)/(64)`
    C
    `(5pi)/(16)`
    D
    `(3pi)/(32)`

  • int (1)/(sqrt(1+x^(4)))dx=

    A
    `(1)/(4)log|(x+(1+x^(4))^(1//4))/(x-(1+x^(4))^(1//4))|-(1)/(4)"Tan"^(-1)((1+x^(4))^(1//4))/(x)+c`
    B
    `(1)/(4)log|(x+(1+x^(4))^(1//4))/(x+(1+x^(4))^(1//4))|+(1)/(4)"Tan"^(-1)((1+x^(4))^(1//4))/(x)+c`
    C
    `(1)/(4)log|(x+(1+x^(4))^(1//4))/(x+(1+x^(4))^(1//4))|-(1)/(2)"Tan"^(-1)((1+x^(4))^(1//4))/(x)+c`
    D
    none

    • Similar Questions

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    Evaluate: int_(0)^(2)|1-x|dx

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