Page 213 - Calculus Workbook For Dummies

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Chapter 11: Integration Rules for Calculus Connoisseurs

7. # 3 sin cos x dx *8. Evaluate # / π 6 cos sin t dt. Hint: When the
3
x
4
2
t
0
Solve It powers of both sine and cosine are even,
you convert all sines and cosines into odd
powers of cosine with these handy trig
identities:
1 - cos x 1 + cos x
2
2
2
2
sin x = and cos x =
2 2

*9. # sec x tan x dx Hints: 1) This works *10. Evaluate # / π 3 tan i sec i
3
3
4
2
pretty much like the example in this di. Hint: After
/ π 4
section. 2) Convert into secants. the split-up, you convert into tangents.
Solve It Solve It