Question

Determine if the improper integral converges or diverges?

Determine if improper integral converges or divergess 2+ cosa ) da 2 + cost da x²

Answer 1

24 Cosa dx * Compute the indefinit interyoung S 24Cosa da Apply integration By parts us atros (a), va te UV- u= 2+10s (2), v' = 1 u'- et C2+ cos(m)) 623 to (Casca) = -Sima) = - Since) resta de = -1 - (246056)65)-S Sinw) (-4) de Simplity's Renesse - (2+cos(x)) = -S (-Sin (6)) (-1/2) dx a+COSC)* = 24 cos Ca) s since tade af Singa) do -- Coco +2 - 5 m @? da 2 -2 + cosa i sinca - da = ja Scanned with vid CamScanner -2+ cos(a) sa - sin(a+C B

Compute the boundaries Ja limazit ( 24 cas (2) – Sin ca)) alteration - -27 056). SimCi) =-2-603 02 - Sin(1) ma sal 2 (021 |---> ( 2+Cau (x - Sna) Expand - 27 Cosca) - Since a+cos(a) = (-2) - Cosca :-($).- (cascas ) - sma) z limazos (-. Cosco - Sin Cm)) --- limazo (3)– kim azan (lim uzalisme) E-0-0-tih map =-Tk = -1/2 = (-2-cos(1) - sin (D) 3-TI2+2+Cos(i) + Sin (1) lated with