Integrals 3

Tangent Substitution.

`Integrals Exercise 3.1:   `*Int((1+(1+t)^`2`)^(1/2)/(1+t)^2,t = 0 .. 2)

`Integrals Exercise 3.2:   `*Int(1/(x^2*(x^2+4)^(1/2)),x)

`Integrals Exercise 3.3:   `*Int((1+x^2)^(1/2)/x^2,x)

`Integrals Exercise 3.4:   `*Int(x^3/(x^2+9)^(1/2),x)

`Integrals Exercise 3.5:   `*Int(x^3/(4*x^2+9)^(3/2),x)

`Integrals Exercise 3.6:   `*Int(1/(x*(x^2+3)^(1/2)),x)

`Integrals Exercise 3.7:   `*Int(x/(x^2+4)^(5/2),x)

`Integrals Exercise 3.8:   `*Int(1/((x^2+2*x+2)^2),x)