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Question : 76 of 160
Marks:
+1,
-0
Solution:
Let
I=x(sin‌2(sin‌x)+cos2(cos‌x))‌dx .....(i)
I=(π−x)(sin‌2(sin‌x)+cos2(cos‌x))‌dx.....(ii)
Adding Eqs. (i) and (ii), we get
2I‌=π‌(sin‌2(sin‌x)+cos2(cos‌x))‌dx2I‌=2π‌(sin‌2(sin‌x)+cos2(cos‌x))‌dx.I‌=π‌sin‌2(sin‌x)+cos2(cos‌x)‌dxI‌=π‌sin‌2(cos‌x)+cos2(cos‌x)‌dx‌=π‌1‌dx ‌I=π×‌‌I=‌
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