Page 214 - Calculus Workbook For Dummies
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198 Part IV: Integration and Infinite Series
*11. # tan t dt 12. # csc cot x dx
3
8
x
Solve It Solve It
Trigonometric Substitution:
It’s Your Lucky Day!
In this section, you tackle integrals containing radicals of the following three forms:
2
2
2
2
u + a 2 , u - a 2 , and a - u , as well as powers of these roots. To solve these prob-
lems, you use a SohCahToa right triangle, the Pythagorean Theorem, and some fancy
trigonometric substitutions. I’m sure you’ll have no trouble with this technique — it’s
even easier than string theory.
