Page 26 - Calculus for the Clueless, Calc II
P. 26
when m or n is odd.
The technique is to break off the trig function that is to an odd power (if both are, break off the one that is to the
2
2
lower degree), and write all the others using the identity sin x + cos x = 1.
Pretty simple, eh? However, when m and n are to an even power, the integrals are usually much longer.
Example 6—
and n = 0 with both exponents even.
In doing these problems, we will use the half-angle formulas: