Click to Chat

0120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 400 off
USE CODE: SSPD25

				   (2x^2-3x+8)dx/(2x^3-4x^2+8x-1)


4 years ago

Share

										Ans:$I = \int \frac{2x^{2}-3x+8}{2x^{3}-4x^{2}+8x-1}dx$We will proceed this question by partial fraction rule.$f(x) = 2x^{3}-4x^{2}+8x-1$Roots of f(x):$x_{1} = .1333$$x_{2} = .93335+1.69707i$$x_{3} = .93335-1.69707i$$\frac{2x^{2}-3x+8}{2x^{3}-4x^{2}+8x-1} = \frac{a}{x-x_{1}} + \frac{b}{x-x_{2}}+\frac{c}{x-x_{3}}$We have values of a, b & c from here,$I = \int (\frac{a}{x-x_{1}}+\frac{b}{x-x_{2}}+\frac{c}{x-x_{3}})dx$$I = aln|x-x_{1}| + bln|x-x_{2}| + cln|x-x_{3}| + constant$Thanks & RegardsJitender SinghIIT DelhiaskIITians Faculty

2 years ago

Other Related Questions on Integral Calculus

Integration of root tanx

0

 RAKESH CHINDAM one year ago

1

 RAKESH CHINDAM one year ago
What is actually meant by integration I know that it is summation related concept but my question suppose we have d/dx sin x = cosx implies integral cosx=sinx what do this actual predict pl...

Intergration is also called anti-derivative so its just reverse of differentiation Thanks

 Nishant Vora 6 months ago
integrat sqrt(sinx) with limit 0 to pi/2.......................

let sinx = t^2 cosxdx = 2tdt. dx = 2tdt/root(1 – t^4) substitute it then integerate it. it becomes as: 2*(t^2(1-t^4)^-1/2)dt.

 Vikas TU 4 months ago
Let f:R->R be such that |f(x)-f(y)| A.f(x) B.constant but not zero C.(f(x))^2 D.Zero

 Vijay Mukati one year ago
Which book is best for straight line and conic section for objectives?

@ KARAN there is a book coming named as OBJECTIVE IIT MATHEMATICS by m l khanna , that is best for conic section as well as streight lines , these two are the most weightage chapter of jee...

 Umakant biswal 24 days ago

The best books for above topics are ML Khanna and A Das Gupta. You can refer any one of them. Hope it helps. Thank You.

 Shreyas Patil 24 days ago
In a row of 20 seats, in how many ways can 3 blocks of consecutive seats with 5 seats in each block be selected?Please explain each step in a laymans term.Thanks.

Placement of those blocks will actually mean that you have selceted those 5 consecutive chairs at different positions.

 Harsh Patodia one month ago

PFA

 Harsh Patodia one month ago

Thank you sir for the solution and your time.Im little confused here or perhaps obtuse because the question talks about selection.Here is what I have understood from your solution :The...

 mac one month ago
View all Questions »

• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: R 15,000
• View Details
Get extra R 3,750 off
USE CODE: SSPD25

Get extra R 400 off
USE CODE: SSPD25

More Questions On Integral Calculus