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Let f(x)=integration of( (2x+1)÷(x²-2x+2))du from(o,x) then find the least value of f(x) in (-1,1)
Let f(x)=integration of( (2x+1)÷(x²-2x+2))du from(o,x)  then find the least value of f(x) in (-1,1)

```
6 years ago

```							put 2x+1=A.d/dx(x^2-2x+2)+B2x+1=A(2x-2)+Bcomapring coeff of x and constant terms2=2A amd 1=-2A+B=>A=1 and 1=-2+B=>B=3hence integral of (2x+1)/(x^2-2x+2)dx=integral(2x-2)/(x^2-2x+2) .dx+3integral dx/(x^-2x+3)=logmod(x^2-2x+2)+3integraldx/(x-1)^2+1=logmod(x^2-2x+2)+3 arctan(x-1) +CThanks & RegardsRinkoo GuptaAskIItians Faculty
```
6 years ago
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