Question

integrate √x²+10x+25 dx​

Answer 1

Answer:

$\\\tt \dfrac{ {x}^{2} }{2} + 5x + c$

Step-by-step explanation:

$\\\tt \int \sqrt{ {x}^{2} + 10x + 25} dx \\\tt = \int \sqrt{ {(x + 5)}^{2} } dx \\ \\\tt = \int (x + 5)dx\\\tt = \dfrac{ {x}^{2} }{2} + 5x + c$