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Question : 168 of 180
Marks:
+1,
-0
Solution:
Let
u=a secx⇒v=atan‌xlog‌u= secx‌log‌a ‌‌=u‌log‌a‌ ‌s‌e‌c‌x‌tan‌x‌=atan‌x‌log‌a‌ ‌s‌e‌c‌x‌tan‌xand
log‌v‌=tan‌x‌log‌a‌‌=v‌log‌a‌ ‌s‌e‌c2‌x‌=atan‌x‌log‌a‌ ‌s‌e‌c2‌x‌‌=‌=‌| a secx‌log‌a‌ ‌s‌e‌c‌x‌tan‌x |
| atan‌x‌log‌a‌ ‌s‌e‌c2‌x |
‌=‌=sin‌xa secx−tan‌x
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