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

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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.
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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) --2 3 x dx b) --1 2 3 3 x dx c) + dt t t tan 3 6 sec 3 2 d) dx e n n x 3 1 2 1 e) ( ) -dx e x 1 2 2 f) -dr r e r Chapter 6.1 Chapter 7.1 7. Evaluate the following integrals by using integration by parts. a) d cos b) dx x x sin 2 c) dx x x e 1 3 ln d) dx x x 2 sec 4 2 8. Evaluate the integrals by partial fractions. a) -2 1 x dx b) + x x dx 2 2 c) -+ + dx x x x 6 5 4 2 d) --8 4 2 3 2 y y ydy...
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This note was uploaded on 05/08/2011 for the course ACCOUNTING 121210 taught by Professor Sdasdas during the Spring '10 term at Albany College of Pharmacy and Health Sciences.

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

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