Chapter 4.3, Problem 1ES

Approximate the following integrals using the Trapezoidal rule.

1. a. ${\displaystyle {\int }_{0.5}^1{x}^4}dx$
2. b. ${\displaystyle {\int }_0^{0.5}\frac{2}{x-4}}dx$
3. c. ${\displaystyle {\int }_1^{15}{x}^2}\ln xdx$
4. d. ${\displaystyle {\int }_0^1{x}^2}{e}^{-x}dx$
5. e. ${\displaystyle {\int }_1^{1.6}\frac{2x}{x^2-4}}dx$
6. f. ${\displaystyle {\int }_0^{0.35}\frac{2}{x^2-4}}dx$
7. g. ${\displaystyle {\int }_0^{\pi /4}x}\sin xdx$
8. h. ${\displaystyle {\int }_0^{\pi /4}{e}^{3x}}\sin 2xdx$