Is the best approach here to apply the power rule to solve the bottom integral and then split the fraction and solve each of the 3 integrals separately?

$$\int\limits_{~~ }^{~~} ~\frac{x^3-x^2+1}{\int\limits_{ }^{ } x^2}~dx$$

Question

Is the best approach here to apply the power rule to solve the bottom integral and then split the fraction and solve each of the 3 integrals separately?

$$\int\limits_{~~ }^{~~} ~\frac{x^3-x^2+1}{\int\limits_{ }^{ } x^2}~dx$$

solomonzelman · Answer

$$\int\limits_{~~ }^{~~} ~\frac{x^3-x^2+1}{\int\limits_{ }^{ } x^2}~dx$$

sidsiddhartha · Answer

yeah thats a good way

solomonzelman · Answer

I am getting
$$\int\limits\limits_{~~ }^{~~} ~\frac{3(x^3-x^2+1)}{ x^3}~dx$$

then I apply the sum rule,
(I'll draw it) ..

anonymous · Answer

i have never seen an integral over another integral

solomonzelman · Answer

|dw:1400506534955:dw|yes, it is quite wierd, they just make it confusing....