Evaluate integral of (1/(1+x^4)) dx over the limits (0 to infinity)

Evaluate integral of (1/(1+x^4)) dx over the limits (0 to infinity)

Question

Question

Evaluate integral of (1/(1+x^4)) dx over the limits (0 to infinity)

Topic

  1. Beta and Gamma Functions
  2. Independent Proof of Gamma Function – Show that gamma(1/2)=sqrt(pi)

Beta and Gamma Function Problems

  1. Show that integral of d(theta)/sqrt(sin(theta)) for limits (0 to pi/2) multiplied by integral of sqrt(sin(theta)) d(theta) equals to pi
  2. Evaluate integral of sqrt(cot(theta)) d(theta) over the limits (0 to pi/2) by expressing in terms of gamma function
  3. Evaluate integral of (4-x^2)^(3/2) dx over the limits (0 to 2)
  4. Evaluate integral of (1/(1+x^4)) dx over the limits (0 to infinity)
  5. Show that beta(m,n) = integral of (x^(m-1)/(1+x)^(m+n)) dx over the limits (0 to infinity)

 

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