∫e^x(x^2 tan^-1 x + tan^-1 x + 1)/(x^2 + 1) dx is ... (a) e^x tan^-1 (x + 1) + c (b) tan^-1 (e^x) + c (c) e^x((tan^-1 x)^2/2) + c

Question

\(∫\frac{e^x(x^2 tan^{-1}x\,+\,tan^{-1}x+1)}{x^2+1}dx\) is ...

(a) e^x tan^-1 (x + 1) + c

(b) tan^-1 (e^x) + c

(c) e^x((tan^-1 x)²/2) + c

(d) e^x tan^-1 x + c 

Answer 1

Answer is (d) e^x tan^-1 x + c