\(\int \frac{e^{x}\left(x^{2} \tan ^{-1} x+\tan ^{-1} x+1\right)}{x^{2}+1}\) dx is ………………..
A. e tan-1(x + 1)
B. tan-1(ex) + c
C. ex \(\frac{\left(\tan ^{-1} x\right)^{2}}{2}\) + c
D. extan-1x + c
Answer:D
\(\int \frac{e^{x}\left(x^{2} \tan ^{-1} x+\tan ^{-1} x+1\right)}{x^{2}+1}\) dx is ………………..
A. e tan-1(x + 1) B. tan-1(ex) + c C. ex \(\frac{\left(\tan ^{-1} x\right)^{2}}{2}\) + c D. extan-1x + c