Chapter 7 Homework

1. Evaluate the integral

2. Evaluate the integral

$\int \ln 5x dx$

3. Evaluate the integral

${\int }_1^4\ln \left(2x\right)dx$

4. Evaluate the integral

${\int }_0^{1}x{e}^{–2x}dx$

5. Evaluate the integral

$\int \frac{2x}{\sqrt{2x+3}}dx$

6.  Use the table of integrals in Section 7.2 to evaluate the integral

$\int 8x^3\ln 2xdx$

7.  Evaluate each improper integral whenever it is convergent

${\int }_{–\infty }^0{e}^{3x}dx$

8. Evaluate each improper integral whenever it is convergent’

${\int }_3^{\infty }\frac{2}{x}dx$

9 Evaluate each improper integral whenever it is convergent

${\int }_2^{\infty }\frac{dx}{{(1+2x)}^2}$

10.Evaluate each improper integral whenever it is convergent

${\int }_1^{\infty }3e^{1–x}dx$