- #1
albireo
- 4
- 0
Homework Statement
Integrate 1/sqrt(x^2+16)
The answer I get is :
ln ((sqrt(16+x^2)+x)/4)+C
and it is incorrect. The answer is ln(sqrt(16+x^2)+x) + C
Integrating 1/sqrt(x^2+16): Common Mistakes and Correct Solution
- Thread starter albireo
- Start date
-
- Tags
- Integral
Click For Summary
Homework Help Overview
The discussion revolves around the integration of the function 1/sqrt(x^2+16). Participants are examining the correctness of different expressions for the integral and exploring common mistakes in the process.
Discussion Character
- Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the equivalence of two different forms of the integral's result, questioning the implications of constants in logarithmic expressions.
Discussion Status
The conversation has led to some clarification regarding the nature of constants in logarithmic forms, with participants acknowledging that different expressions can represent the same solution. There is no explicit consensus on the preferred form, but the discussion is productive.
Contextual Notes
Participants are navigating the nuances of logarithmic identities and constants of integration, with some confusion around the implications of constants in their solutions.