- #1
Nusc
- 760
- 2
Someone please tell me how to integrate dx/(1+e^x).
Thanks
Thanks
Integrating dx/(1+e^x) involves using a combination of substitution, integration by parts, and trigonometric identities. It can be a complex process, so it is important to carefully follow the steps and practice regularly.
The most common substitution for dx/(1+e^x) is u = e^x. This allows for the integral to be rewritten as dx = du/u, which simplifies the integration process.
While it is possible to solve this integral without substitution, it can be a more complicated process and may require advanced integration techniques. Substitution is generally the most efficient and straightforward method for solving this type of integral.
Yes, integration by parts can be used to solve dx/(1+e^x). However, it may not always be the most efficient method and can result in a more complex integral. It is important to carefully choose which integration techniques to use based on the integral at hand.
One useful tip is to first simplify the integral by factoring out a constant or using trigonometric identities if applicable. Also, be sure to check your work by differentiating the result to ensure it is correct. Practice and familiarity with different integration techniques can also help to improve your skills in solving dx/(1+e^x).