Practice problem
Find ∫1−x21+3x2+x4 dx.\displaystyle\int \frac {1-x^2}{1+3x^2+x^4} \, \mathrm{d}x.∫1+3x2+x41−x2dx.
(Source: CalcBee shortlist)
tan−1(xx2+1 )+c\tan^{-1}\big(\frac{x}{x^2+1}\ \big)+ctan−1(x2+1x )+c
1x+c\frac1x+cx1+c
cosh(x)+c\cosh(x)+ccosh(x)+c
sin−1(x−1x2 )+c\sin^{-1}\big(\frac{x-1}{x^2}\ \big)+csin−1(x2x−1 )+c
Type a concept, like “slope” or “photosynthesis”.
