Please write the solution on paper or a document and not just type it as it could be quite confusing to understand, thanks!

8. Evaluate the following integrals. Determine whether the integral is convergent or divergent. 9 6x3 a. 2 ( 1 - 3 x ) dx b . J-co ( x 4 + 1 ) 2 dx c. S 5xex dx d. J xe02x dx (Hint: Recall that lim xe* = 0