Inverse Trig Functions - Calculus - Quiz, Exercises of Calculus

This is class quiz. Its from Calculus class. Some key points are: Inverse Trig Functions, Trigonometric Substitution, Calculate, Circle, Integral, Compositions, Simplify

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

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Math 106 - Quiz 5 - October 16, 2006
Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and
books are not.
1. (10 pts.) Use a trigonometric substitution to calculate the following integral. [Your final answer
should not include any compositions of trig and inverse trig functions, such as sin(arctan x), as you
can simplify these.]
Zp4 + x2dx.
2. (10 pts.) Calculate Z2x+ 3
4x+ 5 dx.

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NAME:

Math 106 - Quiz 5 - October 16, 2006

Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and books are not.

  1. (10 pts.) Use a trigonometric substitution to calculate the following integral. [Your final answer should not include any compositions of trig and inverse trig functions, such as sin(arctan x), as you can simplify these.] ∫ (^) √ 4 + x^2 dx.
  2. (10 pts.) Calculate

2 x + 3 4 x + 5

dx.