Integration Flashcards

1
Q

xⁿ

A

xⁿ

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2
Q

sin 𝑥

A

−cos 𝑥 + c

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3
Q

cos 𝑥

A

sin 𝑥 + c

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4
Q

tan 𝑥

A

ln|sec 𝑥| + c

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5
Q

sin²𝑥

A

1/2 𝑥 - 1/4 sin2𝑥 + c

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6
Q

cos²𝑥

A

1/2 𝑥 + 1/4 sin2𝑥 + c

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7
Q

tan²𝑥

A

tan𝑥 - 𝑥 + c

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8
Q

cosec 𝑥

A

-ln(cosec 𝑥 + cot 𝑥) + c

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9
Q

sec 𝑥

A

ln(sec 𝑥 + tan 𝑥) + c

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10
Q

cot 𝑥

A

ln(sin 𝑥) + c

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11
Q

cosec²𝑥

A

-cot 𝑥 + c

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12
Q

sec²𝑥

A

tan 𝑥 + c

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13
Q

cot²𝑥

A

-cot𝑥 - 𝑥 + c

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14
Q

1/𝑥

A

ln(𝑥) + c

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15
Q

ln(𝑥)

A

𝑥ln(𝑥) - 𝑥 + c

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16
Q

e^𝑥

A

e^𝑥 + c

17
Q

a^𝑥

A

(1/ln(a))a^𝑥 + c