2. a) Use Maple or other acceptable computer algebra system to evaluate. [Note: If you don't use a
windows driven menu for Maple, the command to integrate in Maple is int( function, x) ] If
you have questions, ask and I can show you.
(6 pts total)
i) $\int \sin(x)\cos(2x)\,dx$
ii) $\int \sin(3x)\cos(7x)\,dx$
iii) $\int \sin(8x)\cos(3x)\,dx$
iv) $\int \sin(6x)\cos(2x)\,dx$
b) Based on the pattern of your responses in part (a), guess the value of the integral
$\int \sin(ax)\cos(bx)\,dx$
where a, b are real numbers $a \neq b$
c) Prove your guess by using an appropriate trigonometric formula.
