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Evaluate the following integrals :\(\int\frac{cosec^2x}{1+cotx}\)dx |
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Answer» Assume, 1 + cotx = t d(1 + cotx) = dt ⇒cosec2x = dt Put t and dt in given equation we get, ⇒ ∫\(\frac{dt}{t}\) = ln|t| + c But, t = 1 + cotx = ln|1 + cotx| + c. |
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