Evaluate : ∫ √(x - 7)/(x - 9)dx

Question

Evaluate :

\(\int \sqrt{\frac{x - 7}{x - 9}}dx\)

∫ √(x - 7)/(x - 9)dx

Answer 1

∫ √(x - 7)/(x - 9)dx

Comparing the coefficients of x and constant term on both sides, we get

In I₁, put x² - 16x + 63 = t

∴ (2x - 16)dx = dt