Don't get how to do this problem. (Need steps ASAP please! ADVANCED MATH Calculus II)

[tex]\int\limits^8_2 {\frac{\sqrt{x^2+64} }{2x^2 } \, dx[/tex]

Respuesta :

Answer:

Step-by-step explanation:

   

Let

[tex]u=\sqrt{x^2+64} \rightarrow du = \frac{x}{\sqrt{x^2+64} }[/tex]

[tex]dv=x^{-2}dx\rightarrow v =-x^{-1}[/tex]

[tex]-x^{-1}\sqrt{x^2+64} |_2^8 +\int\limits^8_2 \frac{1}{\sqrt{x^2+64}} \, dx[/tex]

Apply formula for the integral, replace limits in for the first part.

I believe that you can finish it, right?  (all is formula and replace limits in)