x belongs to [0,1]
use the result that arcsin(sqrt(x)) + arccos(sqrt(x))] = [pi / 2]
to get rid of arccos(sqrt(x)) and write the integral completely in terms of arcsin(sqrt(x))
use a substitution to change the arc sine function to a function involving sine function
use integration by parts to handle the new integral.
formulae on integration
PAGE 1 BASIC INTEGRATION
PAGE 2 INTEGRATION BY SUBSTITUTION
PAGE 3 INTEGRATION BY COMPLETION OF SQUARES
PAGE 4 INTEGRATION BY PARTS
PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR
PAGE 6 INTEGRATION USING PARTIAL FRACTIONS
disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work
No comments:
Post a Comment
please leave your comments