integrales Flashcards

1
Q

∫ sin(x) dx

A

-cos(x) + C

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2
Q

∫ cos(x) dx

A

sin(x) + C

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3
Q

∫ tan(x) dx

A

ln|sec(x)| + C

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4
Q

∫ cot(x) dx

A

ln|sin(x)| + C

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5
Q

∫ sec(x) dx

A

ln|sec(x) + tan(x)| + C

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6
Q

∫ csc(x) dx

A

ln|csc(x) - cot(x)| + C

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7
Q

∫ sin^2(x) dx

A

x/2 - sin(2x)/4 + C

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8
Q

∫ cos^2(x) dx

A

x/2 + sin(2x)/4 + C

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9
Q

∫ sin^3(x) dx

A

-cos(x)/3 - cos(3x)/9 + C

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10
Q

∫ cos^3(x) dx

A

sin(x)/3 + sin(3x)/9 + C

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11
Q

∫ sin(x)cos(x) dx

A

sin^2(x)/2 + C

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12
Q

∫ 1/sin(x) dx

A

ln|tan(x/2)| + C

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13
Q

∫ 1/cos(x) dx

A

ln|sec(x) + tan(x)| + C

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14
Q

∫ sec^2(x) dx

A

tan(x) + C

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15
Q

∫ csc^2(x) dx

A

-cot(x) + C

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16
Q

∫ sec^3(x) dx

A

(1/2) sec(x) tan(x) + (1/2) ln|sec(x) + tan(x)| + C

17
Q

∫ csc^3(x) dx

A

-(1/2) csc(x) cot(x) - (1/2) ln|csc(x) - cot(x)| + C

18
Q

∫ sec(x)tan(x) dx

A

sec(x) + C

19
Q

∫ csc(x)cot(x) dx

A

-csc(x) + C