Complete the missing ones: (those highlighted ones) Integrate: .2x [cotcscdx 3 3 2x [cots (2) csc² (²) dx = [(ITEM F1) cot ( t (²737) csc (²237) dx = S(ITEM F2} cot ( (²37) Csc (²737) d CSC dx 6 (²7) cot (²) csc (²7) dx 6 (²) cot (²) csc (²) dx = [(ITEM F3] CSC (²) cot (3) c = [ {ITEM F4]csc6 (2) cot (3) ) dx + (ITEM F5) + [ csc (²) cot (²77) csc (²3 = [csc ¹0 (²) cot (²) csc (²) da Let u = CSC (ITEM F6) - [₁² (32)-2/₁² (32)+ [10 (3) - G+²0)-GG) + C +2 = {ITEM F7} + {ITEM F8} + {ITEM F9} + C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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Complete the missing ones: (those highlighted ones)
Integrate:
.2x
[cots 2 c
3
-csc7 -dx
2x
3
t (²737) csc (²237) dx
[cots (2) csc² (²) dx = [(ITEM F1) cot (
= S(ITEM F2} cot ( (²37) Csc (²737) d
CSC
dx
cot (3) c
6 (²7) cot (²) csc (²7) dx
= [(ITEM F3] CSC (²)
6 (²) cot (²) csc (²) dx
= [ {ITEM F4]csc6 (2) cot (3)
) dx + (ITEM F5) + [ csc (²) cot (7) csc (7) dx
= [csc ¹0 (²) cot (²) csc (²) da
Let
u = CSC
(ITEM F6)
= [u¹⁰ (−3du) - 2 fuº (−3du) + fuº (-3du)
=)) + ²) - ()+‹
= {ITEM F7} + {ITEM F8} + {ITEM F9) + C
Transcribed Image Text:Complete the missing ones: (those highlighted ones) Integrate: .2x [cots 2 c 3 -csc7 -dx 2x 3 t (²737) csc (²237) dx [cots (2) csc² (²) dx = [(ITEM F1) cot ( = S(ITEM F2} cot ( (²37) Csc (²737) d CSC dx cot (3) c 6 (²7) cot (²) csc (²7) dx = [(ITEM F3] CSC (²) 6 (²) cot (²) csc (²) dx = [ {ITEM F4]csc6 (2) cot (3) ) dx + (ITEM F5) + [ csc (²) cot (7) csc (7) dx = [csc ¹0 (²) cot (²) csc (²) da Let u = CSC (ITEM F6) = [u¹⁰ (−3du) - 2 fuº (−3du) + fuº (-3du) =)) + ²) - ()+‹ = {ITEM F7} + {ITEM F8} + {ITEM F9) + C
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