Trig and Inverse Trig: Derivatives, Identities, Integrals

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not including sin cosine derivatives/integrals

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12 Terms

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<p>Integral of Tangent</p>

Integral of Tangent

negative natural log of cosine OR natural log of secant

<p>negative natural log of cosine OR natural log of secant</p>
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<p>Integral of Cotangent</p>

Integral of Cotangent

natural log of sine

<p>natural log of sine</p>
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<p>Integral of Secant</p>

Integral of Secant

natural log (secant + tangent)

<p>natural log (secant + tangent)</p>
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<p>Integral of Cosecant</p>

Integral of Cosecant

negative natural log (cosecant + cotangent) OR natural log (cosecant - cotangent)

<p>negative natural log (cosecant + cotangent) OR natural log (cosecant - cotangent)</p>
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<p>Integral plus or minus du/(a²+u²)</p>

Integral plus or minus du/(a²+u²)

1/a arc tan u/a (+)

1/a arc cot u/a (-)

<p>1/a arc tan u/a (+) </p><p>1/a arc cot u/a (-)</p>
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<p>Integral plus or minus du/v/(a²-u²)</p>

Integral plus or minus du/v/(a²-u²)

arc sin u/a (+) or arc cos u/a (-)

Derivative of Arcsin - Formula, Proof, Examples | Derivative of Arcsin x

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<p>Integral plus or minus du/ |u| v/(u²-a²)</p>

Integral plus or minus du/ |u| v/(u²-a²)

1/a arc sec u/a (+) or 1/a arc csc u/a (-)

<p>1/a arc sec u/a (+) or 1/a arc csc u/a (-)</p>
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Power Reducing Identity: sin²(x)

(1-cos2x)/2

<p>(1-cos2x)/2</p>
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Power Reducing Identity: cos²(x)

(1+cos2x)/2

<p>(1+cos2x)/2</p>
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Power Reducing Identity: tan²(x)

(1-cos2x)/(1+cos2x)

<p>(1-cos2x)/(1+cos2x)</p>
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Double Angle Identity: sin 2x

2 sinxcosx

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Double Angle Identity: cos 2x

cos²x-sin²x

1-2sin²x

2cos²x-1