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Evaluate int(1)/(4+5sinx)dx...

Evaluate `int(1)/(4+5sinx)dx`

Answer

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Knowledge Check

  • int(1)/(sinx+sec x)dx=

    A
    `(1)/(2sqrt(3))log|(sqrt(3)+sinx-cosx)/(sqrt(3)-sin x+cosx)|-Tan^(-1)(sin x+cosx)+c`
    B
    `(1)/(2sqrt(3))log|(sqrt(3)+sinx-cosx)/(sqrt(3)-sin x+cosx)|+Tan^(-1)(sin x+cosx)+c`
    C
    `(1)/(2sqrt(3))log|(sqrt(3)+sinx-cosx)/(sqrt(3)-sin x+cosx)|-Tan^(-1)(sin x-cosx)+c`
    D
    none

  • int (1)/(4+5cos x)dx=

    A
    `(1)/(3)log|(3+tanx//2)/(3-tanx//2)|+c`
    B
    `(1)/(6)log|(3+tanx//2)/(3-tanx//2)|+c`
    C
    `(1)/(6)log|(3+tanx//2)/(3-tanx//2)|+c`
    D
    none

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