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Evaluate: int0^(pi/4)(sinx+cosx)/(9+16si...

Evaluate: `int_0^(pi/4)(sinx+cosx)/(9+16sin2x)dx`

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Evaluate int_(0)^(pi//4)(sinx+cosx)/(9+16sin 2x)dx .

int_(0)^((pi)/(4))(sin x+cos x)/(9+16sin2x)dx

Knowledge Check

  • int_(0)^(pi/4)(sin x+cos x)/(9+16 sin 2x)dx

    A
    `(1)/(40) log9`
    B
    `(1)/(20) log9`
    C
    `(1)/(40) log3`
    D
    None of these
  • int_(0)^(pi//2)(sinx cosx)/(1+sin^(4)x)dx=

    A
    `(pi)/2`
    B
    `(pi)/4`
    C
    `(pi)/6`
    D
    `(pi)/8`
  • The value of the integral int_0^(pi//4) (sin x + cos x)/(9 + 16 sin 2x) dx is

    A
    `"log" 3`
    B
    `"log" 2`
    C
    `1/20 "log" 3`
    D
    `1/20 "log" 2`
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