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The value of the definite integral int0^...

The value of the definite integral `int_0^pi ((1-x sin 2x) e^(cos^2x) + (1+x sin 2x) e^(sin^2x))`dx is equal to

Answer

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Knowledge Check

  • The value of the definite integral int _(0)^(pi//2) ((1+ sin 3x)/(1+2 sin x)) dx equals to:

    A
    `pi/2`
    B
    `1`
    C
    `1/2`
    D
    `pi/4`

  • The value of the definite integral int_(0)^(pi//2)sin x sin 2x sin 3x dx is equal to

    A
    `(1)/(3)`
    B
    `-(2)/(3)`
    C
    `-(1)/(6)`
    D
    `(1)/(6)`

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    The value of the definite integral int_0^(pi/2) ((1+sin3x)/(1+2sinx)) dx equals to

    Given int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=ln2 then the value of the definite integral int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to

    The value of the integral int_(0)^(oo) e^(-2x) (sin 2x + cos 2x) dx is

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