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Solve this integral problem. ...................................

Solve this integral problem. ...................................

Question Image
Grade:12

2 Answers

Phanindra
226 Points
3 years ago
2log cotx can be written as logcot^2x....There is a property....that...alogb = logb^a...So...the given integral becomes...Integral of e^logcot^2x....We have another property that e^loga = a...So the given integral is...From trigonometric relations...We have...cot^2(x) = csc^2(x)-1and the indefinite integral of csc^2(ax) = -cot(ax)/atherefore:the integral[cot^2(x)] = integral[csc^2(x)] - integral[1]which yields your answer of cotx - xHope you have understood this....
Deepak Kumar Shringi
askIITians Faculty 4405 Points
3 years ago
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