MATH 141 – Quiz 1 – Sample Questions

Fresh off the press – sample questions from the first of this year’s 141 quiz. If you’ve written your quiz already and remember the questions, get in touch so we can share the wealth and create a larger bank of questions! Thanks to Stefan for taking the time to share these.

1. Evaluate \displaystyle \lim_{n\rightarrow \infty} \sum_{i = 1}^{n}\sqrt{1- \frac{8i}{n}}\cdot \frac{8}{n}

2. Given \displaystyle f(x) = \int_{\cos x}^2 e^t ~\!\text{d}t ~, find ~\displaystyle \frac{\text{d}f}{\text{d}x} .

3. Evaluate the following integrals:

  • \displaystyle \int \frac{x^2-x}{\sqrt[5]{x}} \text{d}x

  • \displaystyle \int \frac{\sec^2}{5+\tan x}\text{d}x

  • \displaystyle \int_e^{e^9} \frac{1}{x\sqrt{\ln x}}
Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s