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"I f"int(dx)/(cos^3xsqrt(sin2x))=a(tan^2...

`"I f"int(dx)/(cos^3xsqrt(sin2x))=a(tan^2x+b)sqrt(tanx)+c`

Answer

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Ifint(dx)/(cos^3xsqrt(sin2x))=a(tan^2x+b)sqrt(tanx)+c ,t h e n (a) a=(sqrt(2))/5,b=1/(sqrt(5)) (b) a=(sqrt(2))/5,b=5 (c) a=(sqrt(2))/5,b=-1/(sqrt(5)) (d) a=(sqrt(2))/5, b=sqrt(5)

Ifint(dx)/(cos^3xsqrt(sin2x))=a(tan^2x+b)sqrt(tanx)+c ,t h e n (a) a=(sqrt(2))/5,b=1/(sqrt(5)) (b) a=(sqrt(2))/5,b=5 (c) a=(sqrt(2))/5,b=-1/(sqrt(5)) (d) a=(sqrt(2))/5, b=sqrt(5)

Knowledge Check

  • int (dx)/(cos^(3)xsqrt(2sin2x)) =

    A
    `sqrttanx +tan^(5/2) x/5 + c`
    B
    `sqrttanx +2/5tan^(5/2) x + c`
    C
    `2sqrttanx +2/5tan^(5/2) x + c`
    D
    none of these

  • int(dx)/(cos^(3)xsqrt(2sin 2x)) is equal to

    A
    `sqrt(tanx)+(tan^(5//2)x)/(5)+C`
    B
    `sqrt(tanx)+(2)/(5)tan^(5//2)x+C`
    C
    `2sqrt(tanx)+(2)/(5)tan^(5//2)x+C`
    D
    None of the above

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