UH - MATH 1432 - Class Notes - Week 3

View Full Material##### School: University of Houston

##### Department: OTHER

##### Course: Calculus ll

##### Professor: Rebecca George

##### Term: Spring 2017

##### Tags: trig and usubstitution

##### Name: Calculus 2 week 3

##### Description: Trig u substitute

##### Uploaded: 03/05/2018

**5**Pages

**24**Views

**19**Unlocks

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##### School: University of Houston

##### Department: OTHER

##### Course: Calculus ll

##### Professor: Rebecca George

##### Term: Spring 2017

##### Tags: trig and usubstitution

##### Name: Calculus 2 week 3

##### Description: Trig u substitute

##### Uploaded: 03/05/2018

**5**Pages

**24**Views

**19**Unlocks

- Better Grades Guarantee
- 24/7 Homework help
- Notes, Study Guides, Flashcards + More!

Unformatted text preview: FORMULA S Cos XtSin2x = | . + tan 7X = Scc'x tan2x = Secrx -l CosX= (1 cos(ax)) -. Sin 2X = d sinx COS X . Sin x = 2 ( -cos (2x)] sincalcas (B)= sin(A-B) tsin (ntb S in AsinB = 2 Lcos (A -B) - cos (Atb) Cos A cus B = 2 Cos (A-B) Cos (A 1B)| Trigonometric funCTIONS Il cos (ax) sin (ax) dx Scos? (a x) ((2X) Sin2 Cax) dx SC - Sin2(a x)) sin(axl cos (axdx U=sin(ax) du = 2 cos (axlax du = cos (ax)dx S EU 2 ) COS (a x) du 2 cosax S(y2 - ) 4 du 3 - 5 us) TC to Sin(ax)- Tosin (ax)+CU=X 2. S x5*dx du=5* du=dx C 5* dx Ins = X.5* In(5) 5 n (5) In 5 In5 hs 3 Ssin xdx S sin x sinxdx S (Sin x ) ? sin x dx . S (1-Cos 2 x ) 2 sindx U = COS X au -Sin X.dx du = Sinxdx . - SC - y2) du - S 1-242 + ytdu u- 2uS -us OS X COS- d cos3x COS + Cos S = - cos X a cos 3X COS X A+ 2X dx Sa ( COS(4x)) dxl E S (\ tCOS ( 4 ) )dx a X14 Sin(4x)] TC 5 Ssin?(3x) cos (3x) dx RSS in (3x) cos(3x) dx S sin (x) dx S 4 -cos (12 x\\dx S - COS(12 x)\dx = DX-av sin 12 x+C inverse LOO al gebra Trg XP 1. SX x = In v dn = Ldx V= X dy = Xdx Inr 4* - S42, 4) A In x x 4 C

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