Question

Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) x + 25 x dx

Answer 1

Answer:

∫(x+25x)dx=13x²

Step-by-step explanation:

From Exercise, we want  calculate integral for x + 25 x dx.  

But this not required  a substitution to express the integrand as a rational function. We can calculte integral, and we get

∫(x+25x)dx= ∫x dx+25∫x dx=x²/2+ \frac{25}{2} · x^2=\frac{26}{2}·x^2=13x²

Therefore, we get that is  

∫(x+25x)dx=13x².