{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Tutorial5,6&amp;7 - Find the total area of the shaded...

This preview shows pages 1–3. Sign up to view the full content.

Tutorial (Chapter 5,6&7) WQD 10202 (Technical Maths 2) Chapter 5.3 1. Suppose that f and h are integrable and that ( ) ( ) ( ) , 4 , 5 , 1 9 7 9 7 9 1 = = - = dx x h dx x f dx x f Find a) ( ) - 9 1 2 dx x f b) ( ) ( ) [ ] + 9 7 dx x h x f c) ( ) ( ) [ ] - 9 7 3 2 dx x h x f d) ( ) 1 9 dx x f e) ( ) 7 1 dx x f f) ( ) ( ) [ ] - 7 9 dx x f x h Chapter 5.4 2. Evaluate the following integrals a) ( ) - + 0 2 5 2 dx x b) - - 4 3 2 5 dx x c) - 4 0 3 4 3 dx x x d) ( ) + 1 0 2 dx x x e) 5 0 2 / 3 dx x f) - - 1 2 2 2 dx x g) ( ) + π 0 cos 1 dx x h) - - 3 / 3 / 2 2 cos 1 dx t i) - - + 4 / 3 / 2 2 sec 4 dx t t 3. Find the total area between the region and the x -axis. a) 2 3 , 2 2 - - - = x x x y b) 2 2 , 3 3 2 - - = x x y c) 2 3 , 2 3 2 3 - + - = x x x x y Chapter 5.5 4. Evaluate the following indefinite integrals by using the given substitution. a) = x u dx x 3 , 3 sin b) = t u dt t t 2 , 2 tan 2 sec c) ( ) - = - - 2 7 , 2 7 28 5 x u dx x d) ( ) - = - 1 , 1 sin 2 / 3 2 / 3 2 x u dx x x Chapter 5.6 5.

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.

Unformatted text preview: Find the total area of the shaded region a) 2 b) c) d) 3 Chapter 5.7 6. Evaluate the following integral a) âˆ«--2 3 x dx b) âˆ«--1 2 3 3 x dx c) âˆ« + dt t t tan 3 6 sec 3 2 d) dx e n n x âˆ« 3 1 2 1 e) ( ) âˆ«-dx e x 1 2 2 f) âˆ«-dr r e r Chapter 6.1 Chapter 7.1 7. Evaluate the following integrals by using integration by parts. a) âˆ« Î¸ Ï€Î¸ d cos b) âˆ« dx x x sin 2 c) dx x x e âˆ« 1 3 ln d) âˆ« dx x x 2 sec 4 2 8. Evaluate the integrals by partial fractions. a) âˆ«-2 1 x dx b) âˆ« + x x dx 2 2 c) âˆ«-+ + dx x x x 6 5 4 2 d) âˆ«--8 4 2 3 2 y y ydy...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

Tutorial5,6&amp;7 - Find the total area of the shaded...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online