lean_workbook_plus_10876
ProvedGiven the integral $\int\frac{(x-2)}{(7x^2-36x+48)\sqrt{x^2-2x-1}}dx$, find the intuition behind the substitution $\frac{x-2}{3-x}=t$ and provide a general form for this type of integral.
Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_10876 (x t : ℝ) (f : ℝ → ℝ) (hf: f x = (x-2)/(7*x^2-36*x+48)*Real.sqrt (x^2-2*x-1)) (h: t = (x-2)/(3-x)) : ∃ k :ℝ, ∃ g : ℝ → ℝ, (f x = k * g t) := by sorry
Source