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

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

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Knowledge Check

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

    A
    `(pi)/(2)`
    B
    `(pi)/(4)`
    C
    `(pi)/(8)`
    D
    `(pi)/(32)`
  • If int_(0)^(pi//2)sin^(4)x cos^(2)x dx=(pi)/(32) , then int_(0)^(pi//2)sin^(2)x cos^(4)x dx=

    A
    `(pi)/(4)`
    B
    `(pi)/(8)`
    C
    `(pi)/(16)`
    D
    `(pi)/(32)`
  • int_(0)^(pi//2)sin^(6)x cos^(2)x dx=

    A
    `(5)/(256)`
    B
    `(9pi)/(16)`
    C
    `(5pi)/(256)`
    D
    `(pi)/(4)`
  • Similar Questions

    Explore conceptually related problems

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

    int_(0)^(pi//2) f(sin 2x) sin x dx= int_(0)^(pi//2) f(sin 2x) cos x dx= sqrt""2 int_(0)^(pi//4) f(cos 2x) cos x dx

    " "int_(0)^( pi/2)(sin^(2)x)/(1+cos x)dx

    Find the values of the following integrals (iii) int_(0)^(pi/2) sin^(2) x cos^(7) x dx

    Find the value of the integral int_(0)^(2pi) sin^(2)x cos^(4)x dx