Table of Contents

Integration
Indefinite Integrals
Example: Determine the integral
(1)Walpha Query: integral t*e^(sqrt(t))
Shows: The integral (with a Show steps option), plots of the indefinite integral function, alternate forms of the function, and a series expansion at t=0 (with a More terms option).
Other Examples: Not every integral is computed the way they would generally be done by hand. The steps in the following examples are not the usual technique of integration:
(2)Definite Integral
Example: Compute the integral
(4)Walpha Query: integral from t=0 to t=1 of x*e^t
Parametric Curves
Plotting
Example: Plot the parametric curve
(5)from t=2 to t=3.
Walpha Query:
plot [t^21,(t1)^2+2] from t=2 to t=3
Polar Curves
Plotting
Example: Plot the polar curve
(6)Walpha Query: polar plot r=5+sin(8t) from t=0 to t=2*pi