Matematické Fórum

Skrytý text:


rewriting integral as

makes it nicely ready for substitution  which results into something like



here substituting    gives the form that after linear transformation of variable can be forced
into inverse sine integral

Skrytý text:

here you can use and get



basically this is about repeating this trick to drop the power of the denominator in first part and using integration by parts on second part

another approach would be partial fractions method directly on original integral