- #1
LCSphysicist
- 645
- 161
- TL;DR Summary
- .
can integrate 1/(x*lnx) by parts??
Parts is probably not the best approach. Instead, look for derivatives within the integrand.LCSphysicist said:Summary:: .
can integrate 1/(x*lnx) by parts??
Yeh, i know that there is a easier way to resolve it. But i see that try by part we can't ccame in the right answer, i need to now if i made a error or indeed we can't use integral by parts here, and if we cant, why?PeroK said:Parts is probably not the best approach. Instead, look for derivatives within the integrand.
You'll need to post your attempt. No one can help if we can't see what you've done.LCSphysicist said:Yeh, i know that there is a easier way to resolve it. But i see that try by part we can't ccame in the right answer, i need to now if i made a error or indeed we can't use integral by parts here, and if we cant, why?
Integration by parts is a method used in calculus to find the integral of a product of two functions. It is based on the product rule of differentiation and involves splitting the integrand into two parts and integrating one part while differentiating the other.
To integrate 1/(x*lnx) using integration by parts, you can choose u = 1/lnx and dv = 1/x. Then, using the formula for integration by parts, you can integrate u and differentiate dv to obtain the final integral.
Integration by parts is a useful tool in calculus as it allows us to integrate products of functions that cannot be integrated using other methods. It can also be used to simplify complicated integrals and solve differential equations.
Integration by parts is not always applicable and may not work for all integrals. It also requires careful selection of u and dv, which can sometimes be a difficult task. Additionally, it may require multiple iterations to obtain the final integral.
Practicing and familiarizing yourself with different types of integrals and their solutions using integration by parts can help improve your skills. You can also seek help from a tutor or use online resources to understand the concept and its applications better.