Nov 19, 2009 #1 Roshdy Member level 3 Joined Nov 23, 2005 Messages 57 Helped 2 Reputation 4 Reaction score 0 Trophy points 1,286 Location Egypt Activity points 1,738 need help in integration what is the right substitution to make these integrals ∫ (√x)/(x^¾+1)dx ∫x² √(4-x²)dx
need help in integration what is the right substitution to make these integrals ∫ (√x)/(x^¾+1)dx ∫x² √(4-x²)dx
Nov 20, 2009 #2 _Eduardo_ Full Member level 5 Joined Aug 31, 2009 Messages 295 Helped 118 Reputation 238 Reaction score 103 Trophy points 1,323 Location Argentina Activity points 2,909 Re: need help in integration ∫ (√x)/(x^¾+1)dx --> x^¾ = u ∫x² √(4-x²)dx --> x = 2 sin(u) and you need apply some trigonometric identities.
Re: need help in integration ∫ (√x)/(x^¾+1)dx --> x^¾ = u ∫x² √(4-x²)dx --> x = 2 sin(u) and you need apply some trigonometric identities.
Feb 1, 2010 #3 neils_arm_strong Full Member level 5 Joined Jan 5, 2006 Messages 288 Helped 22 Reputation 44 Reaction score 3 Trophy points 1,298 Location Bangalore, India Activity points 3,247 For the first integration use x={cos(t)}^(2/3) second is x=2sin(t)
Feb 20, 2010 #4 A ark5230 Advanced Member level 3 Joined Jun 29, 2009 Messages 862 Helped 163 Reputation 324 Reaction score 140 Trophy points 1,323 Location India Activity points 6,187 The following are the solutions: