CBSE Class 12-science Answered
∫(cot√x + tan√x)dx
Asked by atulmishra514 | 26 Jan, 2024, 10:15: PM
Expert Answer
Let tan√x = θ
if we differentiate above expression, we get
sec2√x × [ dx / (2√x) ] = dθ
Hence , sec2√x dx = 2 √x dθ = 2 tan-1θ dθ
Hence integration becomes
...........................(1)
Series expansion of tan-1θ is
Hence integration given in eqn.(1) becomes
To get the final answer of integration, we substitute θ = tan√x in above expression
Answered by Thiyagarajan K | 27 Jan, 2024, 10:23: PM
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