Level:
Project ID:
1003107913
Accepted:
1
Which method is the most effective to solve the indefinite integral
\[ \int\sin(\ln x)\mathrm{d}x \]
in the range \( (0;\infty) \)?
By parts integration, when we let \( u(x)=\sin(\ln x) \), where \( u(x) \) is the integrated function, and we let \( v'(x)=1 \), where \( v'(x) \) is the differentiated function.
By substitution, \( a=\sin x \).
By parts integration, when we let \( u(x)=\ln x \), where \( u(x) \) is the integrated function, and we let \( v'(x)=\sin x \), where \( v'(x) \) is the differentiated function.
By substitution, \( t=\sin(\ln x) \).