Question

$Evaluate ∫\frac{5dx}{x^{3} +2x^{2} +5x} x 3 +2x 2 +5x 5dx$
please help. ​

Answer 1

Answer:

$\frac{5x^2dx}{x^2+2x+5}+2x^2+5x^5dx$

Step-by-step explanation:

$\frac{5dx}{x^3+2x^2+5x}x^3+2x^2+5x^5dx$

$\frac{5dx}{x^3+2x^2+5x} = \frac{5x^2dx}{x^2+2x+5}$

$=\frac{5x^2dx}{x^2+2x+5}+2x^2+5x^5dx$

I think this is right... hope this helps! :) Also for future equations like this, you could use symbolab. It helps a lot!!