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Question : 104 of 130
Marks:
+1,
-0
Solution:
We have,
I=∫1⋅tan−1√x‌dx Using by parts,
I‌=tan−1√x⋅(x)−∫‌×‌×x‌dx‌=xtan−1√x⋅−∫‌‌dx‌=xtan−1√x−∫(‌−‌)‌dx‌=xtan−1√x−∫‌+∫‌‌=xtan−1√x−√x+tan−1√x+C‌=(x+1)tan−1√x−√x+C
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