- #1
pivoxa15
- 2,255
- 1
[tex]
\int_{0}^{a}\frac{1}{1+y(x)^2}sin(z(x))dx
[/tex]
where y(x) and z(x) are polynomials of degree one i.e ax+b. a,b constants.
I have tried integration by parts but that leads to ever more complex functions to integrate so that doesn't work.
If we restrict the magnitude of the function y(x) and expand y(x) in a geometric series, that dosen't seem to work either because the sine function dosen't reduce and integration or differentiating the geometric series get new results each time. Any help would be appreciated.
\int_{0}^{a}\frac{1}{1+y(x)^2}sin(z(x))dx
[/tex]
where y(x) and z(x) are polynomials of degree one i.e ax+b. a,b constants.
I have tried integration by parts but that leads to ever more complex functions to integrate so that doesn't work.
If we restrict the magnitude of the function y(x) and expand y(x) in a geometric series, that dosen't seem to work either because the sine function dosen't reduce and integration or differentiating the geometric series get new results each time. Any help would be appreciated.
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