cot inverse a^2 - 6x^2 / 5ax
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cot inverse a^2 - 6x^2 / 5ax:
Explanation:
- cot-1((a2 - 6x2)/(5ax))
- Let y = cot-1((a²-6x²)/5ax) = tan-1(5ax/(a²-6x²)
- ⇒tan-1(3x/a) +tan-1(2x/a)
- Differentiating with respect to x
- by solving step by step, we get
- 3a/(a²+9x²) + 2a/(a²+2x²)
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