Question

Mohon bantuannya
1. ∫ (x + 6) / (x + 4) dx = .....
2. ∫ (x² - 2x) / (x² - 4x + 4) dx = .....
3. ∫ (x² - 5x + 5) / (x² -7x + 12) dx = .....

Answer 1

Verified answer

1) ∫ {(x+4)/(x+4) +2/(x+4)} dx = ∫ {1 + 2/(x+4)} dx =
       ∫dx + ∫2/(x+4) dx = x + 2.㏑ |x+4| + c

2) ∫{x(x-2)/(x-2)²} dx = ∫ x/(x-2) dx = ∫{(x-2)/(x-2) + 2/(x-2)} dx =
     ∫ dx + ∫2/(x+2) dx = x + 2㏑|x+2| + c