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MA1014_HW8r_201012

MA1014_HW8r_201012 - Maths II Homework 8 Integration by...

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Maths II - Homework 8 – Integration by trigonometric substitution [email protected] Instruction: Solve only the EVEN problems from the following list: Integral Answer 1.- 1 x 2 x 2 dx sen 1 x 1 x 2 x + c 2.- dx x 2 36 ln x + x 2 36 ( ) + C 3.- 4 + x 2 dx x 2 4 + x 2 + 2ln 4 + x 2 + x + C 4.- x 3 1 x 2 dx 1 3 1 x 2 ( ) 3 2 + 1 5 1 x 2 ( ) 5 2 + C 5.- dx x 2 4 ( ) 3 2 1 4 x x 2 4 + C 6.- x x 2 + 7 dx 1 3 x 2 + 7 ( ) 3 2 + C 7.- dx 25 x 2 sen 1 x 5 Λি Νয় Μ৏ Ξ৯ Πਏ Ο৿ + C 8.- dx x 16 x 2 1 4 ln 4 x 16 x 2 x + C 9.- dx x 1 + x 2 ln 1 + x 2 x 1 x + C 10.- 1 x 2 x 4 dx 1 x 2 ( ) 3 2 3 x 3 + c 11.- x 2 9 x 2 ( ) 3 2 dx x 9 x 2 sen 1 x 3 Λি Νয় Μ৏ Ξ৯ Πਏ Ο৿ + c 12.- dx 1 + x 2 ( ) 2 1 2 arctan x + 1 2 x 1 + x 2 + C 13.- dx 4 + x 2 ( ) 5 2 1 16 x 4 + x 2 1 48 x 3 4 + x 2 ( ) 3 2 + C 14.- dx x 2 + 2 x + 10 ln x 2 + 2 x + 10 3 + x + 1 3 + C
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Maths II - Homework 8 – Integration by trigonometric substitution
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