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int(0)^( pi/2)(sin^(4)x)/(sin^(4)x+cos^(...

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

Answer

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Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

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

    A
    2
    B
    `(pi)/(4)`
    C
    `-2`
    D
    `(pi)/(2)`
  • If I=int_(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx, then the value of I is

    A
    0
    B
    `pi`
    C
    `(pi)/(2)`
    D
    `(pi)/(4)`.
  • int _(-pi)^(pi) (sin^(4)x)/(sin^(4) x + cos^(4) x )dx is equal to

    A
    `(pi)/(4)`
    B
    `(pi)/(2)`
    C
    `(3pi)/(2)`
    D
    `pi`
  • Similar Questions

    Explore conceptually related problems

    (i) int_(0)^(pi//2)(sin^(7)x)/((sin^(7)x+cos^(7)x))dx=(pi)/(4) (ii) int_(0)^(pi//2)(sin^(5)xdx)/((sin^(5)x+cos^(5)x))dx=(pi)/(4)

    Evaluate the following : int_(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx

    Evaluate the following : int_(0)^(pi//4)(sin 2x)/(sin^(4)x+cos^(4)x)dx.

    int_(0)^( pi/2)(sin2x)/(sin^(4)x+cos^(4)x)backslash dx

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