trig substitution for integrals (test 5.5-6.2)

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16 Terms

1
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sin²x

(1 - cos2x)/2

2
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cos²x

(1 + cos2x)/2

3
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sin2x

2sinxcosx

4
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cos2x

  • cos²x - sin²x

  • 2cos²x - 1

  • 1 - 2sin²x

5
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sec²x

1 + tan²x

6
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csc²x

1 + cot²x

7
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∫sinx

-cosx

8
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∫cosx

sinx

9
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∫tanx

-ln|cosx|

10
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∫secx

ln|tanx + secx|

11
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∫cscx

ln|cscx - cotx|

12
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∫cotx

ln|sinx|

13
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∫sec²x

tanx

14
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∫csc²x

-cotx

15
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∫secxtanx

secx

16
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∫cscxcotx

-cscx