Question

integration of a to b (x-a) (b- x) dx = ​

Answer 1

Explanation:

(x-a)(b-x)=bx-x²-ab+ax =-x²+(a+b)x-ab

integration : -x³/3 + (a+b)x²/2 -abx

now first put x=b and then put x=a ,

then subtract them .

i hope it will be helpful for you.