integral rules

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10 Terms

1
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∫1/u du

ln|u| + C

2
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∫e^u du

e^u + C

3
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∫a^u du

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

4
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∫tan(u) du

-ln|cos(u)| + C

5
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∫cot(u) du

ln|sin(u)| + C

6
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∫sec(u) du

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

7
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∫csc(u) du

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

8
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∫1/(u√(u²-a²)) du

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

9
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∫1/(√(a²-u²)) du

arcsin(u/a)+C

10
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∫1/(a²+u²)du

1/a arctan(u/a) + C