# MATH 141 – Quiz 1 – More Sample Questions

Here’s a second set of sample questions from the first of this year’s 141 quizzes. As expected, the general structure appears consistent, but the relative level of difficulty is a bit higher here. For example, the Riemann Sum question doesn’t have lower limit $a = 0$ which means you really have to have a solid understanding of how to work backwards to identify the function. Thanks to Marco for sharing!

### 3. Evaluate the following integrals:

• $\displaystyle \int \frac{\pi}{6+x^2} \text{d}x$
• $\displaystyle \int \frac{x+5}{x^2 + 10x - 7}\text{d}x$
• $\displaystyle \int_a^{b} \frac{1}{x(1+\ln^2 x)}\text{d}x$