{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Pre-Calc Homework Solutions 244

Pre-Calc Homework Solutions 244 - 244 Section 6.2 s4/3 4...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
19. Let u 5 s 4/3 2 8 du 5 } 4 3 } s 1/3 ds } 3 4 } du 5 s 1/3 ds E s 1/3 cos ( s 4/3 2 8) ds 5 } 3 4 } E cos u du 5 } 3 4 } sin u 1 C 5 } 3 4 } sin( s 4/3 2 8) 1 C 20. E } sin d 2 x 3 x } 5 E csc 2 3 x dx Let u 5 3 x du 5 3 dx } 1 3 } du 5 dx E csc 2 3 x dx 5 } 1 3 } E csc 2 u du 5 2 } 1 3 } cot u 1 C 5 2 } 1 3 } cot (3 x ) 1 C 21. Let u 5 cos (2 t 1 1) du 5 2 sin (2 t 1 1)(2) dt 2 } 1 2 } du 5 sin (2 t 1 1) dt E } c s o in s 2 ( ( 2 2 t t 1 1 1 1 ) ) } dt 5 2 } 1 2 } E u 2 2 du 5 } 1 2 } u 2 1 1 C 5 } 2 cos ( 1 2 t 1 1) } 1 C 5 } 1 2 } sec (2 t 1 1) 1 C 22. Let u 5 2 1 sin t du 5 cos t dt E } (2 6 1 c s o i s n t t ) 2 } dt 5 6 E u 2 2 du 5 2 6 u 2 1 1 C 5 2 } 2 1 6 sin t } 1 C 23. E 3 p /4 p /4 cot x dx 5 E 3 p /4 p /4 } c s o in s x x } dx Let u 5 sin x du 5 cos x dx E 3 p /4 p /4 } c s o in s x x } dx 5 E x 5 3 p /4 x 5 p /4 } 1 u } du 5 ln ) u ) 4 5 ln ) sin x ) 4 5 ln ) } ˇ 2 2 w } ) 2 ln ) } ˇ 2 2 w } ) 5 0 24. Let u 5 x 1 2 du 5 dx E 7 0 } x d 1 x 2 } 5 E 9 2 } 1 u } du 5 ln u 4 5 ln 9 2 ln 2
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}