Tutorial 9baru06
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Mathematics QM 016 Topic 9 : Integration – Tutorial ________________________ _______________________________________________ _ TUTORIAL : INTEGRATION 1. Find each indefinite integral: (a) ∫ − 2 2 1 x x dx (b) ) 2 ( 3 x x x + ∫ dx (c) ∫ − x x 3 dx 2. Determine the following integral. (a) ∫ x 3 5 dx (b) ( 3 + e x ) ( 2 + e - x ) dx (c) ∫ ( x x e 3 4 + ) dx 3. Find the following integral (a) ∫ − x 4 3 2 dx (b) ∫ − 4 3 3 2 x x dx (c) ∫ + 4 x x e e dx 4. Ue !b ti t!t ion to e"al !at e (a) ∫ + dx x 4 # (b) ∫ + dx x x 3 3 2 5 (c) ∫ + dx x x 1 (d) ∫ + + dx e x x x 3 3 1 2 (e) ∫ dx x x 2 ) (ln 2 (f) ( ) ∫ + + dx x e x e x x 3 3 3 2 3 5. Ue int egr ati on b$ % art to e"al !at e (a) ∫ − dx e x x 2 (b) ( ) ∫ dx x 2 ln (c) ∫ + dx x x 2 3 1 (d) dx x x ∫ + 2 3 3 ) 3 ( (e) dx x x 2 ) 4 ( − ∫ + (f) dx x x ∫ ln 1
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