Question

`intx/(x + 2)dx` = ______

विकल्प

• x + log |x + 2| + c

• x - log |x + 2| + c

• x - 2log |x + 2| + c

• x + 2log |x + 2| + c

Answer 1

`intx/(x + 2)dx` = x - 2log |x + 2| + c

Explanation:

`intx/(x + 2)dx = int((x + 2) - 2)/(x + 2)dx`

= `int((x + 2)/(x + 2) - 2/(x + 2))`dx

= `int(1 - 2/(x + 2))dx`

= `int1 . dx - 2int1/(x + 2)dx`

= x - 2log |x + 2| + c