`int_(1)^(oo)(dx)/(x^(2))`

int_(0)^(oo)(dx)/((1+x^(2))^(4))=

If int_(0)^(b)(dx)/(1+x^(2))=int_(b)^( oo)(dx)/(1+x^(2)) , then b=

int_(1)^(oo) (1)/(1+x^(2)) dx =

36.Find the following integrals iii) int_(1)^(oo)(dx)/(x^(1.4)) v) int_(-5)^(-2)(1)/(1-x)dx vil int_(0)^(1)(a+bx)^(2)dx

Let I_(1)=int_(0)^(1)(|lnx|)/(x^(2)+4x+1)dx and I_(2)=int_(1)^(oo)(lnx)/(x^(2)+4x+1)dx , then

int_(0)^(oo)(dx)/(x^(2)+2x cos theta+1)=2int_(0)^(1)(dx)/(x^(2)+2x cos theta+1)

Test the integral int_(0)^(oo)(dx)/(1+2x^(2)+3x^(4)) for convergence.

Evaluate the improper integral int_(0)^(oo)(dx)/((1+x^(2))^(n)), n natural number.

The value of int_(0)^(oo)(dx)/(1+x^(4)) is (a) same as that of int_(0)^(oo)(x^(2)+1dx)/(1+x) (b) (pi)/(2sqrt(2))( c) same as that of int_(0)^(oo)(x^(2)+1dx)/(1+x^(4))(d)(pi)/(sqrt(2))