Question

Complete the square and find the indefinite integral (Note: using Trigonometric Substitution);

Answer 1

aa-a't-1-aa41] +1 - [2.1] 4 22-2?= 1-6-1) das pet nata sint ax= sintal dx = cost at costat [ {int +1) I de sintet inte taste) costat costat 1-sint-wit in't ta sint t) sint +1) cost cost de I sista sint tl cost flevate ta sint +) & ta sint +1) at. S

sint = 100s (24) we know that **dx = $(n-cos@y) sint +1) at Vanza JC4-couet) 4 2.kint si at -18-Coulet)4 sint) a tax) 02 a sinan) aa-lola 3t- it - I sin(at) - 2 lost tc. 4 g loo sin (at) - 2 cost tc + - 1 din (at) - 20 fint xal= ta sint (2-1) Cost = sinsint = -as = ſar-2 sin (at) - Reint. Cost= a (x-1) fan-2 .) - -a -) fa 2°-adaniac 0 1 3 din (2-1) - 1 (1-1) 22-x² - a fan- ne te