Name ___________________________                        BC Calculus                        SHW 4


Indefinite Integral (Antiderivative) Exercises: Tangent Substitution

`Indefinite Integrals Exercise 4.1:   `*Int(1/(x^2*(x^2+4)^(1/2)),x)




`Indefinite Integrals Exercise 4.2:   `*Int((1+x^2)^(1/2)/x^2,x)




`Indefinite Integrals Exercise 4.3:   `*Int(x^3/(x^2+9)^(1/2),x)




`Indefinite Integrals Exercise 4.4:   `*Int(x^3/(4*x^2+9)^(3/2),x)




`Indefinite Integrals Exercise 4.5:   `*Int(1/(x*(x^2+3)^(1/2)),x)




`Indefinite Integrals Exercise 4.6:   `*Int(x/(x^2+4)^(5/2),x)




`Indefinite Integrals Exercise 4.7:   `*Int(1/((x^2+2*x+2)^2),x)




Indefinite Integral (Antiderivative) Exercises: Sine & Secant Substitution

`Indefinite Integrals Exercise 4.8:   `*Int((9-x^2)^(1/2)/x^2,x)




`Indefinite Integrals Exercise 4.9:   `*Int(1/((x^2-4)^(1/2)),x)




`Indefinite Integrals Exercise 4.10:   `*Int(x/(3-2*x-x^2)^(1/2),x)




`Indefinite Integrals Exercise 4.11:   `*Int(x^3*(16-x^2)^(1/2),x)




`Indefinite Integrals Exercise 4.12:   `*Int(1/(x^2*(25*x^2-9)^(1/2)),x)




`Indefinite Integrals Exercise 4.13:   `*Int(exp(t)*(16-exp(2*t))^(1/2),t)




`Indefinite Integrals Exercise 4.14:   `*Int(u^2*(a^2-u^2)^(1/2),u)




`Indefinite Integrals Exercise 4.15:   `*Int((u^2-a^2)^(1/2),u)