Calculus 2 Exam
Terms
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- Cos ODD
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1. Save one cos
2. Use cos^2 identity
3. Express in sin
4. u=sin(x) - Sin ODD
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1. Save one sin
2. Substitute sin^2
3. Express in cos
4. u=cos(x) - Sin and Cos EVEN
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sin^2= 1/2(1-cos2x)
cos^2= 1/2(1+cos2x) - Sec EVEN
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1. sec^2(x)=1+tan^2(x)
2. u=tan(x) - Tan ODD
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1. Save sec(x)tan(x)
2. tan^2(x)=sec^2(x)-1
3. u=sec(x) - Disk Formula
- Int from a to b pi*f(x)^2dx
- Shell Formula
- Int from a to b 2pi(x)f(x)dx
- x=asin(theta)
- Sqrt(a^2-x^2)
- x=atan(theta)
- Sqrt(a^2+x^2)
- x=asec(theta)
- Sqrt(x^2-a^2)
- Arc length
- L= Int a to b sqrt(1+[f\'(x)]^2)dx
- Surface of revolution
- S=Int a to b 2pif(x)sqrt(1+[f\'(x)]^2)dx