Question

int (ln(x)/(x^2+1))dx from 0 to infinite

Answer 1

Answer:   zero

Step-by-step explanation:

              in the equation put ln x = t ......1

                                                e∧t = x

                    differentiate eq 1 we get 1/x dx = dt

                                                    dx = e∧t dt    

                                      changing limits gives   at x=o t = -infinite

                                                                              at x= infinite t= infinite

                            the integration changes as

                             t e^t /e^2t+t with integration limits -infinity to +infinity

                               putting t= -t we know that it is an odd function

                                             $\int\limits^m_b f(x), dx =0 when f(x) is odd \\ b=-a \\ m= +a$

                           this is the formula

 hope u understood that and let me know mate