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Given . Then satisfying the equation is:

Mathematics20221 markMCQ
Given $\int e^x \left(\frac{x-1}{x^2}\right) \, dx = e^x f(x) + c$. Then $f(x)$ satisfying the equation is:
  • (a)$x$
  • (b)$x^2$
  • (c)$\frac{1}{x}$
  • (d)None of the above options

Answer

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Integrals

From ISC 2022 Specimen Mathematics Paper 1, question 1(iv).