Evaluate the integral $\int \left(x^3 + \frac{1}{\sqrt{4-x^2}}\right) dx$.

University of Ilorin MTH102 2025B past question

  1. $\frac{x^4}{4} + \sin^{-1}\left(\frac{x}{2}\right) + C$
  2. $\frac{x^4}{4} + \tan^{-1}\left(\frac{x}{2}\right) + C$
  3. $x^4 + \sin^{-1}\left(\frac{x}{2}\right) + C$
  4. $x^4 + \tan^{-1}\left(\frac{x}{2}\right) + C$

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