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Question : 71 of 160
Marks:
+1,
-0
Solution:
Given that,
∫‌dx Substituting,
x=2‌sin‌θ and
dx=2‌cos‌θ‌d‌θ Putting in Eq. (i),
=∫‌| (2‌sin‌θ)2 |
| (√4−(2‌sin‌θ)2)3 |
2‌cos‌θ‌d‌θ =∫‌dθ=∫tan2θdθ =∫(sec2θ−1)dθ=∫sec2θdθ−∫dθ
=tan‌θ−θ+C where,
C is integration constant.
∵‌‌x=2‌sin‌θ or
sin‌θ=‌ ∴‌‌tan‌θ=‌ or
θ=tan−1(‌)
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