Answer Posted / sivka
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 ? | 4 Yes | 4 No |
Post New Answer View All Answers
what is a qi number?
How do ESTs work?
NLO : RPS : : ? : ZXA
How to Insert Genomic DNA into yeast ?
Can independent origins be established for two families of transport systems having no sequence or motif similarities without three-dimensional structural data?
How the Algorithm works?
Will the plant able to produce electricity when the soil is dried up
How a cluster algorithm works?
Why do you think that bioinformatics is important?
How to find flanking region ?
Describe the aim of microarray data analysis?
How long will a train 100m long traveling at 72kmph take to overtake another train 200m long traveling at 54kmph?
How to find coexpressed genes on NCBI GEO?
Suppose the Blast search returned 100 hits. Of these, 17 were false positives and we knew that there were 165 sequences in the database which should have returned a hit with our sequence. How many false negatives were there, and what is the sensitivity and selectivity of Blast in this instance?
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?