The value of `int_a^b(|x|)/x\ dx , altb` is

The value of int_a^b(abs(x))/x dx , altblt0 is :

The value fo int_a^b (x)/(|x|) dx , a lt b lt 0 is :

Suppose in the definite integral int_a^b f(x) dx the upper limit b->oo, then to obtain the value of int_a^bf(x) dx , we may say that int_a^bf(x)dx=lim_(k->oo)int_a^k dx, where k > a. if f(x)->oo as x ->a or x->b, then the value of definite integral int_a^bf(x)dx is lim_(h->0) int_(a+h)^b f(x) dx. If this limit the value of the limit is defined as the value of integral. This should be noted that f (x)should not have any other discontinuity in [a, b] otherwise this will lead to errorous solution.

int_a^b logx/x dx

The value of integral int_(a)^(b)(|x|)/(x)dx , a lt b is :

The value of integral int_(a)^(b)(|x|)/(x)dx , a lt b is :

The value of int_a^b(x-a)^3(b-x)^4dx is