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Hasil dari ∫(3x-6)/(√(x^(2)-4x+10)) dx adalah ….

Hasil dari ∫(3x-6)/(√(x^(2)-4x+10)) dx adalah ….
a. 3√(x^(2)-4x+10)+C
b. 2√(x^(2)-4x+10)+C
c. 1/3 √(x^(2)-4x+10)+C
d. 2/3 √(x^(2)-4x+10)+C
e. 3/2 √(x^(2)-4x+10)+C

Jawabannya opsi E.

Pembahasan:
Ingat! Konsep integral tak tentu pada fungsi aljabar:
∫ ax^n dx = (a/(n + 1))(x^(n + 1)) + C

Sehingga,
∫(3x-6)/(√(x^(2)-4x+10)) dx

Baca Juga :  Complete the sentences with a form of the verb in parentheses. Three hundred and fifty years ago, people (1. make) /made/ their own clothes. They (2. have, not) _____ machines for making clothes. There (3. be, not) _____ any clothing factories. People (4. tear) _____ homemade clothes that were sewn by hand. Today, very few people (5. make) _____ their own clothes. Clothing (6. come) _____ ready-made from factories. People (7. buy) _____ almost all their clothes from stores. The modern clothing industry (8. be) _____ international. As a result, people from different countries often (9. wear) _____ similar clothes. For example, people in many different countries throughout the world (10. wear) _____ jeans and t-shirts. However, some regional differences in clothing still (11. exist) _____ for instance, people of the Arabian deserts (12. wear) _____ loose, flowing lobes to protect themselves from the heat of the sun. In parts of Northern Europe, fur hats (13. be) _____ common in the winter. In the future, there (14. be, probably) _____ fewer and fewer differences in clothing. People throughout the world (15. wear) _____ clothes from the same factories. (16. We all, dress) _____ in the future? TV shows and movies about the future often (17. show) _____ everybody in a uniform of some kind. What (18. you, think) _____? Number 5