Basic Integration Rules Flashcards

0
Q

/ u
| a. du
\
/

A

1
(——) a^u + c
lna

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1
Q

/ du
|———-
\ U
/

A

Ln|u| + c

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2
Q

/
| cosu du
\
/

A

Sinu + c

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3
Q

/
| cotu du
\
/

A

Ln|sinu| + c

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4
Q

/
| cscu du
\
/

A

-ln|cscu + cotu| + c

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5
Q

/ 2
| csc. u du
\
/

A

-cotu + c

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6
Q

/
| cscu cotu du
\
/

A

-cscu + c

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7
Q

/ du
| ———
. 2. 2
/. a. + u

A

1 u
– arctan — + c
a a

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8
Q

/
| u
\ e. du
/

A

e^u + c

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9
Q

/
| sinu du
\
/

A

-cosu + c

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10
Q

/
| tanu du
\
/

A

-ln|cosu| + c

ln|secu| + c

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11
Q

/
| secu du
\
/

A

Ln|secu+tanu| +c

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12
Q

/
| 2
\ sec. u du
/

A

tanu + c

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13
Q

/
| secu tanu du
\
/

A

secu + c

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14
Q

/ du
|. ——————
. 2. 2
/ sq.root a. - u

A

u
arcsin. —- + c
a

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15
Q

/. du
|. —————–
. 2. 2
/. u sq.root u. - a

A

1 |u|
– arcsec — + c
a a