Don't get how to do this problem. (Need steps ASAP please! ADVANCED MATH Calculus II) \int\limits^8_2 {(√(x^2+64) )/(2x^2 ) \, dx

Question

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


`\int\limits^8_2 {(√(x^2+64) )/(2x^2 ) \, dx`

Answer 1

Explanation:

Let

`u=√(x^2+64) \rightarrow du = (x)/(√(x^2+64) )`

`dv=x^(-2)dx\rightarrow v =-x^(-1)`

`-x^(-1)√(x^2+64) |_2^8 +\int\limits^8_2 (1)/(√(x^2+64)) \, dx`

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)