Integrals Flashcards

1
Q

∫(cosx)dx

A

sinx + C

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2
Q

∫(sec^2(x))dx

A

tanx + C

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3
Q

∫(secx)dx

A

ln|secx + tanx| + C

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4
Q

∫(cotx)dx

A

ln|sinx| + C

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5
Q

∫(1/√(1-x^2))dx

A

arcsinx + C

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6
Q

∫(x^n)dx

A

x^(n+1)/(n+1) + C

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7
Q

∫(k*f(x))dx

A

k*∫f(x)dx

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8
Q

∫(sinx)dx

A

-cosx + C

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9
Q

∫(csc^2(x))dx

A

-cotx + C

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10
Q

∫(tanx)dx

A

-ln|cosx| + C

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11
Q

∫(e^x)dx

A

e^x + C

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12
Q

∫(1/x)dx

A

ln|x| + C

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13
Q

∫dx

A

x + C

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14
Q

∫(f(x) ± g(x))dx

A

∫f(x)dx ± ∫g(x)dx

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15
Q

∫(secx * tanx)dx

A

secx + C

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16
Q

∫(cscx * cotx)dx

A

-cscx + C

17
Q

∫(cscx)dx

A

-ln|cscx + cotx| + C

18
Q

∫(1/(1+x^2))dx

A

arctanx + C

19
Q

∫(1/(x√(x^2 - 1)))dx

A

arcsecx + C

20
Q

∫(k)dx

A

kx + C