Question

Evaluate

int(9/4) (dx/✓x)

Answer 1

Solution:

$I=\int_4^9\dfrac1{\sqrt x}dx \\=\int_4^9 (x)^{-1/2}dx \\=\dfrac{x^{1/2}}{1/2}|_4^9 \\=2\sqrt x|_4^9 \\=2(\sqrt 9-\sqrt 4) \\=2(3-2) \\=2(1) \\=2$