tugas 1 kalkulus
Post on 27-Jul-2015
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NAMA : YOSAFAT E.L. HOELY
NIM : 12110056
PRODI : SISTIM INFORMASI
TUGAS KALKULUS II
1. ∫(X7+ 3X6‐ 8X + 15)dx = x8 + x7 ‐ x2 + 5x + c
= x8 + x7 ‐ 4x2 + 5x + c
2. ∫( x4 ‐ 12X2+ X + 6)dx = x4 ‐ x3 + x2 + 6x + c
= x4 ‐ 4x3 + x2 + 6x + c
3. ∫(x 1/3 + 4x 2/5 )dx = x 4/3 + x 20/7 + c
4. ∫(x – 1)4 dx Misalnya, U = x ‐1 maka du/dx = x dx = du/x
jadi, ∫(x – 1)4 dx = ∫U4 du/x = ½ . ⅕ . U5 + c = 1/10 (x‐1)5 + c
big.yozhy@gmail.com
NAMA : YOSAFAT E.L. HOELY
NIM : 12110056
PRODI : SISTIM INFORMASI
5. ∫ dx = ∫x2/4 dx
= x 2/4 + 1 + c
= x6/4 + c
= x6/4 + c
= x6/4 + c
6. ∫x (6x2 – 5)4 dx Penyelesaian : Misalnya, U = 6x2 – 5 maka du/dx = 12x du = 12x dx
du = x dx
Jadi, ∫ x (6x2 – 5)4 dx = ∫u4 . du
= ∫u4 du
= . u5 + c
= (6x2 – 5)5 + c
big.yozhy@gmail.com
NAMA : YOSAFAT E.L. HOELY
NIM : 12110056
PRODI : SISTIM INFORMASI
7. ∫ x5 (5x6 – 2)7 dx Penyelesaian :
Misalnya, U = 5x6 – 2 maka du/dx = 30x5
X5 dx = du
Jadi, ∫ x5 (5x6 – 2)7 dx = ∫ u7du
= ∫u7 du
= . u8 + c
= (5x6 – 2)8 + c
big.yozhy@gmail.com
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