ID: Class: 12 Subject: Math Topic: Differential Equations Type: Mcq Year: 2025

Question:

Let \(f^{\prime}(x)=3(x^{2}+2x)-\frac{4}{x^{3}}+5,\) and \(f(1)=0\). Then, \(f(x)\) is:
  • A. \(x^{3}+3x^{2}+\frac{2}{x^{2}}+5x+11\)
  • B. \(x^{3}+3x^{2}+\frac{2}{x^{2}}+5x-11\)
  • C. \(x^{3}+3x^{2}-\frac{2}{x^{2}}+5x-11\)
  • D. \(x^{3}-3x^{2}-\frac{2}{x^{2}}+5x-11\)