- #1
James Brady
- 105
- 4
[itex]\int\frac{2x^2sin(4x)}{1 + x^6}dx[/itex]
The solution should be substitution method... So far I've set [itex] u = x^3 [/itex], and made some progress trying to make the integral ready to become an arctan:
[itex]\frac{2}{3}\int\frac{sin(4x)}{1 + u^2}du[/itex]
The set up would be fine if it were not for the sine term in the numerator. Substituting the entire denominator doesn't really help the situation and I haven't been able to split the numerator either. Wolfram Alpha says it takes too long to compute so I haven't been able to see the solution either.
The solution should be substitution method... So far I've set [itex] u = x^3 [/itex], and made some progress trying to make the integral ready to become an arctan:
[itex]\frac{2}{3}\int\frac{sin(4x)}{1 + u^2}du[/itex]
The set up would be fine if it were not for the sine term in the numerator. Substituting the entire denominator doesn't really help the situation and I haven't been able to split the numerator either. Wolfram Alpha says it takes too long to compute so I haven't been able to see the solution either.