AP EAMCET · Maths · Indefinite Integration
\(\int e^{x \operatorname{cosec} x} \cdot \operatorname{cosec} x \cdot(1-x \cot x) d x=\)
- A \(e^{x \cot x}+c\)
- B \(e^{x \operatorname{cosec} x}+c\)
- C \(e^{-x \operatorname{cosec} x}+c\)
- D \(e^{-x \cot x}+c\)
Answer & Solution
Correct Answer
(B) \(e^{x \operatorname{cosec} x}+c\)
Step-by-step Solution
Detailed explanation
\(\int e^{x \operatorname{cosec}} x \operatorname{cosec} x(1-x \cot x) d x\) Put, \(x \operatorname{cosec} x=t\) Differentiate w.r.to ' \(x\) '…
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