Evaluate the improper integral
\int_1^(\infty ) (1+tan^(-1)(x))/(1+x^(2))dx
(Use decimal notation. Give your answer to three decimal places. Enter DNE if the integral diverges.)
\int_1^(\infty ) (1+tan^(-1)(x))/(1+x^(2))dx=
Evaluate the improper integral
\int_0^(\infty ) x^(2)e^(-sx)dx(s>0)
. (Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the integral diverges.)
\int_0^(\infty ) x^(2)e^(-sx)dx(s>0)=