Divide by x^2 and substitute t = x + 1/x (denominators like x^4 + kx^2 + 1)

1. A.
   $1$
2. B.
   $2$
3. C.
   $3$
4. D.
   $4$

Tap an option to check your answer.

1. A.
   $\log\left(\tan^{-1}(\sec x + \cos x)\right) + c$
2. B.
   $2\log\left(\tan^{-1}(\sec x + \cos x)\right) + c$
3. C.
   $\dfrac{\left(\tan^{-1}(\sec x + \cos x)\right)^2}{2} + c$
4. D.
   $\tan^{-1}(\sec x + \cos x) + c$

Tap an option to check your answer.

1. A.
   $\tan^{-1}\left(x^5 + \dfrac{1}{x^5}\right) + c$
2. B.
   $\dfrac{1}{5}\tan^{-1}\left(x^5 + \dfrac{1}{x^5}\right) + c$
3. C.
   $\tan^{-1}\left(x^{10} + \dfrac{1}{x^{10}}\right) + c$
4. D.
   $\dfrac{1}{10}\tan^{-1}\left(x^{10} + \dfrac{1}{x^{10}}\right) + c$

Tap an option to check your answer.

1. A.
   $\log\left(\tan^{-1}\left(x + \dfrac{1}{x}\right)\right) + c$
2. B.
   $\log\left(\tan^{-1}\left(x - \dfrac{1}{x}\right)\right) + c$
3. C.
   $\tan^{-1}\left(x + \dfrac{1}{x}\right) + c$
4. D.
   $\log\left(\tan^{-1}\left(\dfrac{1}{x} - x\right)\right) + c$

Tap an option to check your answer.