Consider the integral $$\int \frac{(1+9 x)^{10}}{\left(x^3-x\right)^2 \left(x^2-5 x + 4\right)} \,dx$$ Enter a T or an F in each answer space below to indicate whether or not a term of the given type occurs in the general form of the complete partial fractions decomposition of the integrand. $A_1, A_2, A_3\dots$ and $B_1, B_2, B_3,\dots$ denote constants.

1. $\frac{B_4}{x + 1}$
2. $A_{6} x$
3. $\frac{A_{20} x + B_{20}}{x^3-x}$
4. $\frac{B_{11}}{(x + 1)^2}$
5. $\frac{B_5}{x + 4}$
6. $A_{4} x^2$
7. $\frac{B_8}{(x - 1)^3}$
8. $A_{2}$
9. $\frac{B_7}{(x - 1)^2}$
10. $\frac{A_{15} x + B_{15}}{\left(x^2-1\right)^2}$
11. $\frac{A_{7}}{x}$
12. $\frac{A_{10} x + B_{10}}{x^2-5 x + 4}$
13. $\frac{B_2}{x - 1}$
14. $\frac{A_9 x + B_9}{\left(x^3-x\right)^2}$
15. $\frac{B_3}{(x + 4)^2}$
16. $A_{3} x^3$
17. $\frac{A_{1}}{ x^2}$
18. $\frac{A_{8}}{ x^3}$
19. $\frac{B_6}{x - 4}$
20. $\frac{B_1}{\left(x + 1\right)^3}$