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Question : 70 of 150
Marks:
+1,
-0
Solution:
‌‌ Put ‌sin‌2x+cos3x=t‌⇒(2sin‌x‌cos‌x−3cos2xsin‌x)dx=dt‌⇒(sin‌2x−‌sin‌2x‌cos‌x)dx=dt‌⇒sin‌2x(1−‌‌cos‌x)dx=dt‌∴‌‌∫‌| sin‌2x(1−‌cos‌x) |
| esin‌2x+cos3x |
dx‌=∫‌‌dt‌=∫e−t‌dt‌=−e−t+c‌=−e−(−sin‌2x+cos3x)+c‌
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