Let,Originally Posted by nirva
then, Thus, you have,
becomes,
Thus,
This one is more complicated.Originally Posted by nirva
This involves trigonomteric substitution.
You have,
Rationalize,
Let,
Then,
Thus, express integrand as,
Thus, substitute the previous equations,
Thus,
Now, just determine this new integral.
Use trigonometric identities thus,
Thus,
Let,
Then,
Express integrand as,
Make the above substitutions,
Thus,
Substitute for to get,
Thus,
Substitute for to get,
Thus,