Evaluate the integration of : (co3x-x^2)(sin3x-x^3)dx?
1 Answer
May 1, 2018
Explanation:
We want to solve
I=int(cos(3x)-x^2)/(sin(3x)-x^3)dx
Make a substitution
I=int(cos(3x)-x^2)/(u*3(cos(3x)-x^2))du
color(white)(I)=1/3int1/udu
color(white)(I)=1/3ln(abs(u))+C
Substitute back
I=1/3ln(abs(sin(3x)-x^3))+C