Wednesday, March 6, 2013

integral using trigonometric substitution

integral of (x^3)/ [sqrt[(x^2)+4] ]
 use the substitution x = 2tanθ
 dx = 2 ((secθ)^2) dθ
 simplify and then use another substituion
secθ = t
secθ tanθ dθ = dt
simplify and integrate then resubstitute
 change secθ in terms of tanθ
then again resubstitute
 remembering that x =2 tanθ or tanθ = (x/2)


 integration formulae


please leave your comments below


index of math problems


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