© examsiri.com
Question : 72 of 160
Marks:
+1,
-0
Solution:
Let
‌I=∫‌| cosec‌x |
| 3‌cos‌x+4sin‌x |
‌dx‌‌‌=∫‌x3‌cot‌x+4‌dx‌‌ Let ‌3‌cot‌x+4=t‌−3cosec2x‌dx=dt‌cosec2x‌dx=‌‌dt‌I=−‌‌∫‌‌dt‌=‌‌log|t|+C=‌‌log‌|‌|+C‌=‌‌log‌|‌|+C‌=‌‌log‌|‌| sin‌x |
| 3‌cos‌x+4sin‌x |
|+C
© examsiri.com
Go to Question: