Answer Posted / nirali
3x+5/x^3-x^2-x+1
--->3x+5/x^2(x-1)-(x-1)
=3x+5/(x-1)(x^2-1)
=3x+5/(x-1)^2(x+1)
Let 3x+5/(x-1)^2(x+1)=A/(x-1) +B/(x-1)^2 +C/x+1
Then,
3x+5=A(x-1)(x+1)+B(x+1)+C(x-1)^2......(i)
Putting x=1,-1 and 0 successively in (i),we get
8=2B,2=4C and 5= -A+B+C
--->B=4,C=1/2,A=-1/2
Therefore,
3x+5/(x-1)^2(x+1)=-1/2(x-1) +4/(x-1)^2 +1/2(x+1)
--->integration of 3x+5/(x-1)^2(x+1) =-1/2 log|x-1| -4/x-1 +1/2log|x+1|+ c
=1/2log|x+1/x-1| -4/x-1 +c
| Is This Answer Correct ? | 27 Yes | 7 No |
Post New Answer View All Answers
What is the science of bioinformatics?
Draw the E-R diagram for the database of a departmental store having the following relational database scheme Employees(e-no, address) Department(d-name) work-n(e-no, d-name) Looking-after(d-name, e-no) Item (item-no, brand-name, model-no, cost-price, sale-price)
what is the image of point (3,8) in the line x + 3y = 7 ?
Why do you think that bioinformatics is important?
Does multidrug resistance (mdr) arise by activation of stable genes encoding drug efflux pumps or by mutations of genes encoding other types of transporters in bacterial pathogens?
How do you customize database for blast?
What are the limitations of blotting techniques?
A certain radioactive element A, has a half life = t seconds. In (t/2) seconds the fraction of the initial quantity of the element so far decayed is nearly how much?
An electron is injected into a region of uniform magnetic flux density with the components of velocity parallel to and normal to the flux. What is the path of the electron?
How will you value a biotech company as opposed to a consumer products company?
What is a DNA array?
How to run DOCK 6 using cygwin?
How do you find the most recent human sequence data in the data bases inorder to determine physical maps?
Can independent origins be established for two families of transport systems having no sequence or motif similarities without three-dimensional structural data?
How to find flanking region ?
