Integral Test 2 Formulas

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11 Terms

1
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sin²x

1-cos²x

2
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1+tan²x

sec²x

3
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1+cotan²x

csc²x

4
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power reducing formula for sin²x

(1/2)[1-cos(2x)]

5
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power reducing formula for cos²x

(1/2)[1+cos(2x)]

6
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double angle formula

sin(2x)=2sinxcosx

7
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Trig sub forms

a²-x²

x²-a²

a²+x²

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a²-x²

x = asinθ

dx = acosθdθ

a²-x² = a²cos²θ

<p>x = asinθ</p><p>dx = acosθdθ</p><p>a²-x² = a²cos²θ</p>
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a²+x²

x=atanθ

dx = asec²θdθ

a²+x²= a²sec²θ

<p>x=atanθ</p><p>dx = asec²θdθ</p><p>a²+x²= a²sec²θ</p>
10
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x²-a²

x=asecθ

dx=asecθtanθdθ

x²-a²=a²tan²θ

<p>x=asecθ</p><p>dx=asecθtanθdθ</p><p>x²-a²=a²tan²θ</p>
11
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L-Hopital Indeterminate Forms

0/0, ∞/∞, 1^∞, 0^0, ∞^0, 0*∞, ∞-∞