© examsiri.com
Question : 77 of 160
Marks:
+1,
-0
Solution:
5+2x+x2=4+(x+1)2 Let
x+1=z⇒dx=dz ∴‌‌I=∫‌=∫‌ Let
z=2‌tan‌t,dz=‌ √4+z2=2√1+tan2t=‌ So,
I=‌‌∫cos‌t‌d‌t=‌‌sin‌t+C =‌‌+C=‌‌+C ⇒I=‌+C
© examsiri.com
Go to Question: