Homework 4.5

1. Evaluate.  Assume u > 0 when ln u appears

$\int {(x^3–6)}^{6}3x^{2}dx$

2.  Evaluate. 

$\int t^2{(1+t^3)}^6 dt =$

3.  Evaluate.  Assume u > 0 when ln u appears

$\int \frac{3}{1+3x}dx$

4.  Evaluate.  Assume u > 0 when ln u appears

$\int x^9{e}^{x^{10}}dx$

5. Evaluate.  Assume u > 0 when ln u appears

$\int \frac{1}{4x+8}dx$

6.  Evaluate

$\int r^2{\left(r^3–8\right)}^{6}dr$

7.   Evaluate.  Assume u > 0 when ln u appears

$\int {(x^4+4x^3–7x^2)}^3 (4x^3+12x^2–14x) dx$

8.  Evaluate.  Assume u > 0 when ln u appears

$\int \frac{3e^{3y}}{7+e^{3y}}dy$

9.  Evaluate.  Assume u > 0 when ln u appears

$\int \frac{19}{x \ln 2x}dx$

10. Evaluate.  Assume u > 0 when ln u appears

$\int \frac{x^3}{{(5–x^4)}^7}dx$

11.  Evaluate

${\int }_0^{2}6x^2{e}^{x^3}dx$

12.  Evaluate.

${\int }_0^4\frac{dt}{1+t}$

13.  Evaluate.

${\int }_0^3{(x–3)}^{3}dx$