Integration Flashcards

1
Q

Integral of cosx

A

sinx

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2
Q

Integral of sinx

A

-cosx

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3
Q

Integral of tanx

A

ln(secx)

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4
Q

Integral of secx

A

ln(secx + tanx)

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5
Q

Integral of cotx

A

ln(sinx)

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6
Q

Integral of coshx

A

sinhx

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7
Q

Integral of sinhx

A

coshx

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8
Q

Integral of tanhx

A

ln(coshx)

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9
Q

Integral of cothx

A

ln(sinhx)

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10
Q

Integral of 1/(x^2 + a^2)

A

1/a arctan(x/a)

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11
Q

Integral of 1/(x^2 - a^2)

A

1/2a ln[(x-a)/(x+a)]

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12
Q

Integral of 1/sqrt(x^2 + a^2)

A

arcsinh(x/a)

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13
Q

Integral of 1/sqrt(x^2 - a^2)

A

arccoshx

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14
Q

Integral of 1/sqrt(x^2 + k)

A

ln[x+sqrt(x^2 + k)]

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15
Q

Integral of 1/sqrt(a^2 - x^2)

A

arcsin(x/a)

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