Caculus Flashcards

(18 cards)

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

Sec2(x)dx

A

Tan(x)+C

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4
Q

Csc2(x)dx

A

−cot(x)+C

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5
Q

Sec(x)tan(x)dx

A

Sec(x)+C

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6
Q

Csc(x)cot(x)dx

A

−csc(x)+C

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7
Q

(1/x)dx

A

Ln|x|+C

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8
Q

Tan(x) dx

A

−ln|cos(x)|+C=ln|sec(x)|+C

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9
Q

Sec(x) dx

A

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

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10
Q

Sinh(x)dx

A

Cosh(x)+C

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11
Q

Cosh(x)dx

A

Sinh(x)+C

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12
Q

(e^x)dx

A

(e^x)+C

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13
Q

(a^x)dx

A

[1/ln(a)]∗(a^x)+C

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14
Q

[1/sqrt(1+x^2)]dx

A

arctan(x)= +C

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15
Q

[1/sqrt(1−x^2)]dx

A

arcsin(x)+c

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16
Q

[1/(a^2)+u^2)]du=

A

(1/a)arctan(u/a)+c

17
Q

[1/sqrt{(a2)=(u2)}]du

A

arcsin(u/a)+c

18
Q

(X^p)dx

A

[x^(p+1)/p +1]+C