Question

integration of 3/(2-x)^2 dx​

Answer 1

Answer:

3/(2-x) + c

Explanation:

We can use the following substitution:

u = 2 - x --------------------------> 1

=> du = -dx ----------------------> 2

Now substitute 1 and 2 above in our integral. 3 being a constant will come out of the integral and you need to integrate - (1/(u^2)).

The answer is 1/u = 1/(2-x)

The final answer = 3/(2-x) + c