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int0^(pi//2) (cos x)/(3 cos x+sin x) dx...

`int_0^(pi//2) (cos x)/(3 cos x+sin x) dx`

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Evaluate : int_0^(pi/4) ( cos 2 x)/( cos 2x + sin 2x) dx

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Knowledge Check

  • What is int_0^(pi//2) (sin^3 x)/(sin^3x+cos^3x) dx

    A
    `pi`
    B
    `pi/2`
    C
    `pi/4`
    D
    0

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

    A
    `(pi^(2))/(8)`
    B
    `(pi^(2))/(16)`
    C
    `(pi^(2))/(32)`
    D
    `(pi^(2))/(4)`

  • The value of int_0^(pi//2) (sinx-cos x)/(1+sin x cos x ) dx is

    A
    0
    B
    1
    C
    -1
    D
    -2

    • Similar Questions

    Explore conceptually related problems

    Compute the integrals : (a) int_(0)^(pi//2) (cos x dx)/( 6 - 5 sin x + sin^(2) x) (b) int _(0)^(pi//2) (dx)/( 2 + cos x)

    int_(0)^(pi//2) x sin x cos x dx

    Evaluate the following integral: int_0^(pi//2)(cos^2x)/(1+3sin^2x)dx

    Evaluate: int_0^(pi//4)(sin\ 2x)/(cos^4x+sin^4x)dx

    (i) int_0^(pi//2) (sin^3x)/(sin^3x+cos^3x) dx (ii) int_0^(pi//2) (cos^3x)/(sin^3x+cos^3x) dx (iii) int_0^(pi//2) (sin^4x)/(sin^4x+cos^4x) dx (iv) int_0^(pi//2) (cos^5x)/(sin^5x+cos^5x) dx (v) int_0^(pi//2) (sin^5x)/(sin^5x+cos^5x) dx

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