Take Class 12 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
How you will evaluate ∫logxdx.
Asked by Rahul Srivastava Last Modified
Answer ∫log x dx = x log x -x
Proof : Using integration by parts,
∫udv = uv - ∫vdu
In ∫ log x dx,
take, u=logx => du= (1/x) . dx
∫dv=∫dx => v=x
Now substituting,
∫log x = logx (x) - ∫x . 1/x . dx = logx (x) - ∫dx= x log x -x + C
where C is constant.
read less
Now take
as first function and 1 as second function.
then integrate by parts.
read less
Sreelakshmi S
Biotechnology graduate and Medical Coder, experienced tutor for Science subjects and Mathematics.
∫log x dx = x log x -x
Proof : Using integration by parts,
∫udv = uv - ∫vdu
In ∫ log x dx,
take, u=logx => du= (1/x) . dx
∫dv=∫dx => v=x
Now substituting,
∫log x = logx (x) - ∫x . 1/x . dx = logx (x) - ∫dx= x log x -x + C
where C is constant.
read less
Using ILATE RULE where
I stands for inverse trigonometric functions
L stands for logarithmic functions
A stands for algebraic functions
T stands for trigonometric functions
E stands for exponential functions.
Solve this integration using integration by part where consider logx as first function & 1as second function.
Ans- xlogx-x
read less
Karunakaran Thangaraj
IIM_home_Tuition Tutor Chennai mathematics 100%
Lalit Rana
I will try to give my best but its totally depends on you thanks
View 180 more Answers
Related Questions
I am new here and I can teach Psychology for 11, 12, and BA/BSc students. I have already taught in a University before.
Are there students in need for psychology tutorials and what should the charges be? Is there anyone else who is also teaching psychology?
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRecommended Articles
Meet Mohammad Wazid, a skilled trainer for...
Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...
Read full article >
Meet Raghunandan.G.H, a B. Tech Tutor from...
Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...
Read full article >
Meet Radhe Shyam Burman, an MBA Tutor from...
Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...
Read full article >
Meet Swati, a Hindi Tutor from Bangalore
Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...
Read full article >
Looking for Class 12 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near youThe best tutors for Class 12 Tuition Classes are on UrbanPro
The best Tutors for Class 12 Tuition Classes are on UrbanPro
10
