What is d x x^2+a^2 equal to? where c is the constant of integration.

Step-by-step solution

aligned & d x x^2+a^2 & Let x=a u & d x=a ^2 u d u & = a ^2 u d u a^2 ^2 u+a^2 & =a ^2 u d u a^2 (1+ ^2 u ) a a ^2 u d u u aligned aligned & = ^2 u d u u = u d u & = [ (u)+ (u)]+c [ x d x= x ] aligned aligned & = [ x a^2 + 1+ x^2 a^2 ]+c & = [ x a + a^2+x^2 a ]+c & = [ x+ x^2+a^2 a ]+c aligned Option (A) is correct.