Review Derivative & Integral Rules (just the hard ones)

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11 Terms

1
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∫(u^a)du

(u^(a+1))/a+1 +C

2
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∫(a^u)du

(a^u)/ln|a| +C

3
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∫tan(u)du

-ln|cos(u)| +C

4
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∫sec(u)du

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

5
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∫csc(u)du

-ln|csc(u) + cot(u)| +C

6
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∫cot(u)du

ln|sin(u)| +C

7
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∫(du)/sqrt(a²-u²)

arcsin(u/a) +C

8
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∫(du)/a²+u²

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

9
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∫(du)/(usqrt(u²-a²))

(1/a)arcsec(|u|/a) +C

10
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d/dx[logau]

(du)/ulna

11
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d/dx[|u|]

(udu)/|u|