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Evaluate the following integrals in...

Evaluate the following integrals
`int_(0)^(pi/4) (sin x + cos x)/(9+ 16 sin 2x) dx`

Answer

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Evaluate the following integrals int_(0)^(2pi) cos x dx

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Knowledge Check

  • int_(0)^(pi//4)(sinx + cos x)/(7+9 sin 2x) dx =

    A
    `(log 3)/(4)`
    B
    `(log 3)/(36)`
    C
    `(log 7)/(12)`
    D
    `(log 7)/(24)`
  • int_(0)^(pi//4) (Sin x + Cos x)/(7 + 9 Sin 2x) dx=

    A
    `(log 3)/(4)`
    B
    `(log 3)/(36)`
    C
    `(log 3)/(12)`
    D
    `(log 7)/(24)`
  • int_(0)^(pi//4) (sin x + cos x)/(7 + 9 sin 2x) dx is equal to

    A
    `(log 3)/(4)`
    B
    `(log 3)/(36)`
    C
    `(log 7)/(12)`
    D
    `(log 7)/(24)`
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    Evaluate the following integrals int_(0)^((16pi)/(3)) |sin x|dx

    Evaluate the following integrals (iii) int_(0)^(pi/4) (1+ sin 2 x)/(cos x + sin x) dx

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