Observe the following statements : $A : \int \bigg(\large\frac { x^2-1}{x^2} \bigg)e. ^{\large\frac{x^2-1}{x}}\; dx= e^{\large\frac{x^2-1}{x}}+c.$$\qquad R:\int f'(x)e^{f(x)}dx=f(x)+c.$ Then which of the following is true ?

Question

(a) Both A and R are true and R is not the correct reason for A

(b) Both A and R are true and R is the correct reason for A

(c) A is true, R is false

(d) A is false, R is true