Chapter Six: Techniques of Integration Flashcards

1
Q

power reducing identity for sine

A

remember: “sinus minus”

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2
Q

power reducing identity for cosine

A
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3
Q

integral of tangent

A

ln|secx| + C

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4
Q

pythagorean identity for tangent

A

tan2x = sec2x - 1

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5
Q

what integral is equal to arcsinx?

A
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6
Q

what integral is equal to arccosx?

A
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7
Q

what integral is equal to arctanx?

A
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8
Q

what integral is equal to arccsc?

A
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9
Q

what integral is equal to arcsec?

A
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10
Q

what integral is equal to arccot?

A
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11
Q

what is the integral of lnx?

A

∫ln(x) = xln(x) - x

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12
Q

a2 - x2

A

x = asinθ

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13
Q

a2 + x2

A

x = atanθ

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14
Q

x2 - a2

A

x = asecθ

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