If `int_(0)^(1)(ax+b)/(x^(2)+3x+2)dx=ln.(3)/(2)`, then

A

`a=1,b=1`

B

`a=2,b=-1`

C

`a=1,b=-1`

D

none of these

AI Generated Solution

Similar Questions

Explore conceptually related problems

int_(0)^(1) (1)/(x^(2) +2x+3)dx

If int_(0)^(1) (log(1+x)/(1+x^(2))dx=

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

int_(0)^(3)(x^(2)+1)dx

int_(0)^(log 2)(e^(x))/(1+e^(x))dx=

int_(0)^(1)x log (1+2 x)dx

Prove that : int_(0)^(1) (log x)/(sqrt(1-x^(2)))dx=-(pi)/(2)log 2

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

The solution of the equation int_(log_(2))^(x) (1)/(e^(x)-1)dx=log(3)/(2) is given by x=

If I_(1)=int_(0)^(1) 2^(x^(2)) dx, I_(2)=int_(0)^(1) 2^(x^(3)) dx, I_(3)=int_(1)^(2) 2^(x^(2))dx and I_(4)=int_(1)^(2) 2^(x^(3))dx then