Recent content by oh20elyf

  1. O

    MHB How Do You Integrate a Product of Bessel Functions with Polynomial Denominators?

    Ok so the root of my problem is that i have a formula to calculate pavement deflections from traffic loads, which is the following: d(x)=\int_0^\infty \! \frac{J_{0}(atx)J_{1}(bt)}{t+t^{4} } \, d t a,b: constants x: distance from load centre Now i want to find a formula to calculate the...
  2. O

    Graduate How can I find the antiderivative of this complicated Bessel function?

    I am struggling to find the antiderivative of the following function: f(x)=\frac{J_{0}(ax)J_{1}(bx) }{x+x^{4} } \\ J_{0},{~}J_{1} : Bessel{~}functions{~}of{~}the{~}first{~}kind\\ a, b: constants \\ F(x)=\int_{}^{} \! f(x) \, dx =? Who can help?
    • oh20elyf
    • Thread
    • Antiderivative Bessel Bessel function Function Integral Integrate
    • Replies: 1
    • Forum: Calculus
  3. O

    MHB How Do You Integrate a Product of Bessel Functions with Polynomial Denominators?

    I am struggling to find the antiderivative of the following function:f(x)=\frac{J_{0}(ax)J_{1}(bx) }{x+x^{4} } \\ J_{0},{~}J_{1} : Bessel{~}function{~}of{~}the{~}first{~}kind\\ a, b: constants \\ F(x)=\int_{}^{} \! f(x) \, dx =?Who can help?