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| 1. | a. | u =
√(x- 2) u2 = x - 2 x = u2 + 2 dx = 2udu invullen in de integraal: |
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| u =
√(x- 2) terug invullen: F = 2/5(x - 2)2,5 + 8/3(x- 2)1,5 + 6(x- 2)0,5 |
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| b. | u = (x - 1)1/3 u3 = x - 1 x = u3 + 1 dx = 3u2du invullen in de integraal: |
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| u = (x - 1)1/3
terug invullen: F = 3/5(x - 1)5/3 + 3/2(x- 1)2/3 |
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| c. | u =
√x x = u2 dx = 2udu invullen in de integraal: |
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| u =
√x terug invullen: F = 2ln½√x+ 1½ |
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| d. | u = (x+ 1)1/5 u5 = x + 1 x = u5 - 1 dx = 5u4du invullen in de integraal: |
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| u = (x+ 1)1/5
terug invullen: F = 5/9(x+ 1)9/5 - 5/4(x + 1)4/5 |
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© h.hofstede (h.hofstede@hogeland.nl) |
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