Home
Class 12
MATHS
If int(dx)/((x+2)(x^2+1))=alog|1+x^2|+bt...

If `int(dx)/((x+2)(x^2+1))=alog|1+x^2|+btan^(- 1)x+1/5log|x+2|+c`, then

A

`a = (-1)/(10) , b=(-2)/(5)`

B

`a=(1)/(10),b=-(2)/(5)`

C

`a=(-1)/(10),b=(2)/(5)`

D

`a=(1)/(10) ,b=(2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If int(dx)/((x+2)(x^(2)+1)) = alog|1+x^(2)|+btan^(-1)x+ 1/5log|x+2|+C , then

int_( then )^( If )(dx)/((x+2)(x^(2)+1))=a log|1+x^(2)|+b tan^(-1)x+(1)/(5)log|x+2|+c

int(1)/(x(log x)^(2))dx

If int(2x^2+3)/((x^2-1)(x^2+4))dx=alog((x-1)/(x+1))+btan^(- 1) (x/2)+C then the values of a and b are respectively (A) 1/2,1/2 (B) 1,1 (C) 1/2,1 (D) None

" "int(log x)/((1+x)^(2))dx

If int ((x -1) dx )/( (x +1) (x -2))= A log |x +1| +B log |x-2| then A + B =1

int(dx)/(sqrt(x^(2)+2x+1))=Alog|x+1|+C , x ne 1 then

int_(1)^(2) (dx)/(x(1+log x)^(2))

int(dx)/(sqrt(x^(2)+2x+1))=A log|x+1|+C , x!=-1

If int (dx)/((x^2+4)(x^2+9))=Atan^(-1)((x)/(2))+Btan^(-1)((x)/(3))+c , then A-B =