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If , then will be:

Mathematics20251 markMCQ
If $\int \left(\frac{2-x}{(x-1)^2}\right) e^x \, dx = e^x f(x) + c$, then $f(x)$ will be:
  • (a)$\frac{1}{x-1}$
  • (b)$\frac{1}{2-x}$
  • (c)$\frac{1}{3-x}$
  • (d)$\frac{1}{1-x}$

Answer

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Integrals

From ISC 2025 Practice Mathematics, question 10.