Click to Chat

1800 2000 838

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 320 off
USE CODE: MOB20

				   (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

one year ago

# Other Related Questions on Integral Calculus

what is the integration of square root of sin x a trignometric function

write underroot(sinx) as 1.underroot(sinx) and then apply integrations by parts take underroot(sinx) as the first function and 1 as the second function...

 Himanshu 8 months ago
Integrate the following in terms of dx: (x^2 – 2x +3) / x^4

split (x^2 – 2x +3) / x^4 into: (x^-2 -2x^-3 + 3x^-4) dx = -x^-1 + x^-2 – x^-3 + c = -1/x + 1/x^2 – 1/x^3 + c

integtration of =(x^2 – 2x +3) / x^4 =(x^-2-2x^-3+3x^-4) =integration of x^-2 dx-integration of -2x^-3 dx+integration of 3x^-4 =(x^-2+1/-2+1)-(2x^-3+1/-3+1)+(3x^-4+1/-4+1)...

 SREEKANTH 5 days ago
find the sum of a infinite geometric series whose first term is the limit of the function f(x)=(tanx-sinx)/(sinx)^3 as x tends to 0 and whose common ratio is the liit of the function...

for f(x) divide numerator denominaor by x^3.... then use expansion series... I couldn’t understand what g(x) is so pls rewrite that

 Jayakrishna 10 months ago
Is it correct because one way it says m1/m2 is +ve and ax1+by1+c)/(ax2+by2+c) To negative

Dear Student, Correction is there, On solving the equation, we get – m1/m2. So negative sign is missing over there. Thanks.

 Vijay Mukati 4 months ago
Two forces of 60n and 80n acting at an angle of 60degree with each other pull an object. What single pull would replace the given forces. Pls explain how to calculate the direction...

Dear student, We can figure out what is the net force acting on the Object by the vector sum of the forces or by breaking them into different components. As the figure isnt visible to me ,...

 Sumit Majumdar one year ago

Yeah Listen Carefully Buddy................If Two Vectors Are Equal Then Only You Can Say That The Resultant Vector Makes Equal Angle With Both The Vectors But U Gave 1)60N and 2)80N So...

 surya one year ago
View all Questions »

• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: R 15,000
• View Details
Get extra R 3,000 off
USE CODE: MOB20

Get extra R 320 off
USE CODE: MOB20

More Questions On Integral Calculus