Kennslubókin kafli 4 - Menntaskólinn við HamrahlÃð
Kennslubókin kafli 4 - Menntaskólinn við HamrahlÃð
Kennslubókin kafli 4 - Menntaskólinn við HamrahlÃð
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Svör við æfingum<br />
Æfing 4.1.3<br />
Dæmi 1.<br />
28<br />
(a)<br />
A= ∫ 3<br />
0 x3 dx= 81 4<br />
(b)<br />
4<br />
A= ∫ 2<br />
−2 (4−x2 )dx= 32 3<br />
−1<br />
(c)<br />
1 2 3<br />
3<br />
−3<br />
(d)<br />
40<br />
−2<br />
−1<br />
1 2<br />
A= ∫ 0<br />
−2 (x3 −4x)dx= 4<br />
A= ∫ 4<br />
2 (x3 −4x)dx= 36<br />
−3 −2<br />
Dæmi 2.<br />
−1<br />
(b)<br />
1 2 3 4<br />
(a)<br />
2<br />
40<br />
A= ∫ 2<br />
1 (e2x −1)dx<br />
−1<br />
A= ∫ 1<br />
0 (ex +1)dx=e 1<br />
1 2<br />
= e4 −e 2<br />
2<br />
−1<br />
i