Evaluate the following integrals. Include absolute values only when needed. ∫ee2dxxln3x
Evaluate the following integrals. Include absolute values only when needed.
Answer & Explanation
Skilled2021-10-13Added 101 answers
To find- The value of the above integral.
Concept Used- Substitution method can be used to find the value of the above integral.
Explanation- Rewrite the given integral,
Now, substitute and differentiate both sides with respect to x, we get,
As we have substituted , so we have to change the limit which is as follows,
at x=e, so
at , so
So, the above integrals becomes,
Answer: Hence, the value of the integral is
Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD.