L17 - Integration Using Integral Tables

# L17 - Integration Using Integral Tables - Integral...

This preview shows pages 1–5. Sign up to view the full content.

Integral Tables (Section 7.5) Formulas are in the back of the book, starting on pg T-1. “a,b,c” are constants – any real number. Any limitations are written out. (ex. a < 0) Ex. 6 x x 2 dx #48: 2 ax x 2 dx x a 2 2 ax x 2 a 2 2 sin 1 x a a C Ex. dx xx 2 #13(a) dx xa x b 2 b tan 1 ax b b C

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
To be more general, formulas can also be given in terms of u and du. With these formulas, you’ll need to find u and du in the problem given. Ex. sec 3 2 x  dx #92 in terms of u: sec n ( u ) du sec n 2 ( u )tan( u ) ( n 1) n 2 n 1 sec n 2 ( u ) du , n 1 #88 in terms of u: sec( u ) du ln sec( u ) tan( u ) C
Ex. 2 xx ee d x Can this be done by the following formula:  3 1 2 2 (2 3) nn n u a bu du u a bu na u a bu du bn   One of the following formulas is the correct one to use to evaluate 7 e 2 x dx a . a 2 u 2 du u 2 a 2 u 2 a 2 2 sin 1 u a C b . ua 2 u 2 du  1 3 ( a 2 u 2 ) 3/2 C c . a 2 u 2 u du a 2 u 2 ln a a 2 u 2 u C 1. Which formula should you use? ____________

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 5

L17 - Integration Using Integral Tables - Integral...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online