indefinite integration as the reverse of differentiation
indefinite integration as the reverse of differentiation
indefinite integration as the reverse of differentiation
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Exercises 3.<br />
Use a Table to find <strong>the</strong> following integrals:<br />
∫ ∫<br />
∫<br />
1. e 2x dx 2. sin 3x dx 3. cos 7x dx<br />
4.<br />
∫<br />
Answers<br />
e −3x dx 5.<br />
Exercises 1.<br />
∫ 1<br />
x 3 dx<br />
6. ∫<br />
x 1/2 dx<br />
1. 5x + C 2. x9<br />
9 + C 3. −1 x + C<br />
4. 1 3 e3x + C 5. − 1 2 e−2x + C 6. 2 sin 1 2 x + C.<br />
Exercises 2.<br />
1. 1 2. 31<br />
4 5<br />
Exercises 3.<br />
3. 1 2 (e2 − 1).<br />
1. 1 2 e2x + C 2. − 1 3 cos 3x + C 3. 1 sin 7x + C<br />
7<br />
4. − 1 3 e−3x + C 5. − 1 2x3/2<br />
+ C 6. + C.<br />
2x2 3<br />
c○ mathcentre August 28, 2004 8
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