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...
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?
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?