Answer to Question #265771 in Calculus for Samson

Question #265771

Evaluate

int(9/4) (dx/✓x)

Expert's answer

Solution:

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

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