$\int \frac{x^4 \cos \left(\tan ^{-1} x^5\right)}{1+x^{10}} d x$ equals
- A
$\frac{\sin \left(\tan ^{-1} x^5\right)}{5}+\mathrm{c}$, where c is the constant of integration
- B
$\quad x^4 \sin \left(\tan ^{-1} x^5\right)+\mathrm{c}$, where c is the constant of integration
- C
$\frac{\sin \left(\tan ^{-1} x^5\right)}{4}+\mathrm{c}$, where c is the constant of integration
- D
$\quad \cos \left(\tan ^{-1} x^5\right)+\mathrm{c}$, where c is the constant of integration
✓ Correct answer: A
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