© examsiri.com
Question : 74 of 160
Marks:
+1,
-0
Solution:
‌‌ Let ‌I=∫‌‌dx‌⇒I=∫‌| (x+cos‌x)(1+sin‌x) |
| cos2x |
‌dx‌⇒I=∫x( sec2x+tan‌x⋅ secx)‌dx+∫( secx+tan‌x)‌dx‌⇒I=x‌∫ sec2x‌dx−∫tan‌x‌dx+x secx−∫ secx‌dx+∫( secx+tan‌x)‌dx+C1‌⇒I=x( secx+tan‌x)+C‌⇒I=x(‌)+C‌⇒I=x‌tan(‌+‌)+C
© examsiri.com
Go to Question: