Integrals 2


Arc Length Exercises 2.

`Arc Length Exercise 2.1:   `*y = 1/6*x^3+1/(2*x), x = 1 .. 2

`Arc Length Exercise 2.2:   3`*x = 2*(y-1)^(3/2), y = 2 .. 5

`Arc Length Exercise 2.3:   `*y = ln(sin(x)), x = 1/6*Pi .. 1/3*Pi

`Arc Length Exercise 2.4:   `*x = t^3, `  `*y = t^2, t = 0 .. 4

`Arc Length Exercise 2.5:   `*x = exp(t)*cos(t), `  `*y = exp(t)*sin(t), t = 0 .. Pi

`Arc Length Exercise 2.6:   `*x = exp(t)-t, `  `*y = 4*exp(1/2*t), t = -8 .. 3


Indefinite Integrals 2.

`Indefinite Integrals Exercise 2.1:   `*Int(sin(x)^2,x)

`Indefinite Integrals Exercise 2.2:   `*Int(sin(x)^3,x)

`Indefinite Integrals Exercise 2.3:   `*Int(sin(x)^4,x)

`Indefinite Integrals Exercise 2.4:   `*Int(sin(x)^5*cos(x)^2,x)

`Indefinite Integrals Exercise 2.5:   `*Int(cos(x)^5*sin(x)^4,x)

`Indefinite Integrals Exercise 2.6:   `*Int(tan(x),x)

`Indefinite Integrals Exercise 2.7:   `*Int(tan(x)^2,x)

`Indefinite Integrals Exercise 2.8:   `*Int(tan(x)^3,x)

`Indefinite Integrals Exercise 2.9:   `*Int(tan(x)^6*sec(x)^4,x)

`Indefinite Integrals Exercise 2.10:   `*Int(sec(x)^7*tan(x)^5,x)