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int \ (x^2 \ dx) / (x sin x + cosx)^2...

`int \ (x^2 \ dx) / (x sin x + cosx)^2`

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Step by step text solution for int \ (x^2 \ dx) / (x sin x + cosx)^2 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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int(dx)/(sin x cosx) =

int(sin x+cosx)^2dx

Knowledge Check

  • int_(0)^(pi//2) (sin x) / ((sinx + cosx)^(2) ) dx =

    A
    `pi/2`
    B
    `pi/4`
    C
    `1/2`
    D
    `1/4`
  • int (3cos x-2sin x)/(4 sin x+5 cosx)dx=

    A
    `(22)/(41)log|5 cosx+4 sin x|-(7)/(41)x+c`
    B
    `(22)/(41)log|5 cosx+4 sin x|+(7)/(41)x+c`
    C
    `(22)/(41)log|5 cosx-4 sin x|+(7)/(41)x+c`
    D
    none
  • if I=int(x^(2)+20)/((x sin x+5cosx)^(2))dx ,then I equals-

    A
    `-x/(cos x(xsin+5cosx))+tan x +c`
    B
    `x/(sinx(xsin + 5cos x))+cotx+c`
    C
    `(x sin x - 5 cos x )^(-1) sin x + 7x + c`
    D
    `-x sec x(x sin x + 5cosx)^(-1) + cot(pi/2-x)+c`
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