Riemann Curvature of Schwarzschild with curvature 2-forms

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I have been studying Chapter 14 of Misner, Thorne, Wheeler's Gravitation, in particular the method of computing curvature using exterior differential forms. Is there a reference that computes the curvature of Schwarzschild using this method? There is an exercise in the chapter in the same chapter, exercise 14.13 that states this problem and provides an answer. However, it would be very helpful for me to see the actual derivation of the solution.