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If int(cosec^(2)x)/((cosec x+cot x)^(9/2...

If `int(cosec^(2)x)/((cosec x+cot x)^(9/2))dx =(cosec x-cot x)^(7/2)((1)/(alpha)+((cosec x-cot x)^(2))/(11))+C` (where `C` is constant of integration and `a in N`),then a is -

Answer

Step by step text solution for If int(cosec^(2)x)/((cosec x+cot x)^(9/2))dx =(cosec x-cot x)^(7/2)((1)/(alpha)+((cosec x-cot x)^(2))/(11))+C (where C is constant of integration and a in N),then a is - by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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If int (cosec^(2)x)/((cosec x + cot x)^(9/2)) dx = (cosec x - cot x)^(7/2)(1/alpha+((cosec x-cotx)^(2))/11)+C where C is constant of integration and alpha in N) then alpha is

csc x=1+cot x

Knowledge Check

  • int cosecx(cosec x + cot x) dx = ?

    A
    `cot x - cosec x + C`
    B
    `-cot x + cosec x + C`
    C
    `cotx + cosec x + C`
    D
    `-cot x - cosec + C`

  • (d)/(dx) (cosec x+ cot x )=

    A
    ` cosec x(cosec x-cotx ) `
    B
    ` -cosec x(cosec x-cotx ) `
    C
    ` cosec x(cosec x+cotx ) `
    D
    `- cosec x(cosec x+cotx ) `

  • int (cot x)/((cosec x - cot x)) dx = ?

    A
    `-cosec x - cot x - x + C`
    B
    `cosec x - cot x - x + C`
    C
    `-cosec x + cot x -x + C`
    D
    `cosec x + cot x -x + C`

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    int ("cosec"^(2)x)/((1-cot^(2)x))dx=?

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