int_(-oo)^( oo)(dx)/(x^(2)+4x+5)=pi

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

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

Evaluate : (i) int_(-oo)^(oo) (dx)/(x^(2)+2x+2) , (ii) int_(sqrt(2))^(oo)(dx)/(xsqrt(x^(2)-1)) , (iii) int_(0)^(4)(x^(2))/(1+x)dx (iv) int_(0)^(pi//2) sqrt(costheta)sin^(3)theta

Evaluate : (i) int_(-oo)^(oo) (dx)/(x^(2)+2x+2) , (ii) int_(sqrt(2))^(oo)(dx)/(xsqrt(x^(2)-1)) , (iii) int_(0)^(4)(x^(2))/(1+x)dx (iv) int_(0)^(pi//2) sqrt(costheta)sin^(3)theta

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

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

Given that int_(-oo)^( oo)e^(-x^(2))dx=sqrt(pi) and f(t)=int_(-oo)^( oo)e^(-tx^(2))dx(t>0), then 2|(f'(t))/(sqrt(pi))times t^(3/2)| is

Given that int_(-oo)^( oo)e^(-x^(2))dx=sqrt(pi) and f(t)=int_(-oo)^( oo)e^(-tx^(2))dx(t>0) ,then 2|(f'(t))/(sqrt(pi))times t^(3/2)| is

If int_(0)^(oo)(x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2)))=(pi)/(2(a+b)(b+c)(c+a))" then "int_(0)^(oo)(dx)/((x^(2)+4)(x^(2)+9))=