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Question : 72 of 160
Marks:
+1,
-0
Solution:
Let
f(x)=‌ f′(x)=‌| (2+cos‌x)‌cos‌x−sin‌x(−sin‌x) |
| (2+cos‌x)2 |
=‌| 2‌cos‌x+1 |
| (2+cos‌x)2 |
‌ is the antiderivatives of
‌| 2‌cos‌x+1 |
| (2+cos‌x)2 |
‌⇒∫(‌| 2‌cos‌x+1 |
| (2+cos‌x)2 |
)‌dx=‌+C‌⇒∫‌| (2‌cos‌x+1) |
| (2+cos‌x)2 |
‌dx−‌=C
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