Question

$\int_{}^{}\frac{d^{2}}{dx^{2}}$ (tan^–1x) dx is equal to -

• A. $\frac{1}{1 + x^{2}}$ + c
• B. tan^–1x + c
• C. x tan^–1x – $\frac{1}{2}$log (1+x²) + c
• D. None of these

Answer 1

Answer: (A)

$\frac{1}{1 + x^{2}}$ + c

Answer 2

= tan^–1x + c ̃ = + c