help@askiitians.com

+91-705-589-3577

Integral Calculus> logx.dx/x integrate where limit is from 4...

question mark

logx.dx/x integrate where limit is from 4 to 8

Bilal , 12 Years ago

Grade

1 Answers

Sher Mohammad

$\int_a^b \frac{\log (x)}{x} \, dx$ = $\left[\frac{1}{2} \left(\log ^2(b)-\log ^2(a)\right),\Re(a)\geq 0\land \Re(b)\geq 0\land \left(\left(\Re\left(\frac{a}{b-a}\right)\geq 0\land a^2\neq a b\right)\lor \frac{a}{a-b}\notin \mathbb{R}\lor \Re\left(\frac{a}{a-b}\right)>1\right)\right]$

$\int_4^8 \frac{\log (x)}{x} \, dx$ =(5 Log[2]^2)/2

Sher Mohammad

B.tech, IIT Delhi

Last Activity: 12 Years ago

LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

The area of a square field is 640000cm².what is its area in hectares

integral calculus

1 Answer Available

Last Activity: 3 Years ago

Please solve this integration. I am facing difficulty in it
How to solve this. Please solve anyone. Humble request

integral calculus

1 Answer Available

Last Activity: 3 Years ago

Using laplace transform, solve d²y/dt²+ dy/dt = t² +2t given that y=4 and y’=-2 and t=0

integral calculus

1 Answer Available

Last Activity: 3 Years ago

If 4th term of an A.p is zero, show that the 8th term is double the 6th term

integral calculus

1 Answer Available

Last Activity: 4 Years ago

View all Questions