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If then will be:

Mathematics20241 markMCQ
If $\int (\cot x - \operatorname{cosec}^2 x)e^x dx = e^x f(x) + c$ then $f(x)$ will be:
  • (a)$\cot x + \operatorname{cosec} x$
  • (b)$\cot^2 x$
  • (c)$\cot x$
  • (d)$\operatorname{cosec} x$

Answer

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Integrals

From ISC 2024 Mathematics Paper 1, question 1(viii).