Question

x²/x²+7x+10 (x ≠ -5,-2),Integrate it with respect to x.

Answer 1

Step-by-step explanation:

x^2/(x+5)(x+2)=A/(x+5)+B/(x+5). - 1 - By making denominator equal to LHS. we get. x^2=A(x+2)+B(x+5). put x= -2& x=-5 we get. B=-4/3&A=4/3. put value in eqn 1 we get & taking integration on both sides 4/3[log |x+5|-log |x+2|]+c