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

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