CBSE Class 12 Math 2020 Outside Delhi Set 2 Solved Paper

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Question : 5
Total: 11
Find ∫sin‌5(‌
x
2
)
⋅cos(‌
x
2
)
‌dx
I=∫sin‌5(‌
x
2
)
‌cos
(‌
x
2
)
‌dx

Putting sin‌(‌
x
2
)
=t
gives I=2‌∫t5‌dt
∴I=‌
t6
3
+C
=‌
1
3
s
i
n
‌6(‌
x
2
)
+C
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