Evaluate - Calculus - Quiz, Exercises of Calculus

This is class quiz. Its from Calculus class. Some key points are: Evaluate, Write, Evaluating, Extra Credit, Method, Sine, Cosine

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

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Name Quiz 1
Math 106, section A September 12, 2003
1. Evaluate Z(x4+x2+ 1)7(2x2+ 1)x dx.
2. (i) Explain why we can write Z
sin θcos θ=Z(sin2θ+ cos2θ)
sin θcos θ=Zsin θ
cos θ+Zcos θ
sin θ.
(ii) Finish evaluating the integral. For extra credit, evaluate it also by another method.

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Name Quiz 1 Math 106, section A September 12, 2003

  1. Evaluate

(x^4 + x^2 + 1)^7 (2x^2 + 1)x dx.

  1. (i) Explain why we can write

dθ sin θ cos θ

(sin^2 θ + cos^2 θ)dθ sin θ cos θ

sin θ dθ cos θ

cos θ dθ sin θ

(ii) Finish evaluating the integral. For extra credit, evaluate it also by another method.