Formulas for integration

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7 Terms

1
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∫1/u² +a²du

1/a tan-1(u/a)+C

2
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∫du/u

ln(u)+C

3
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∫f(x)-g(x)dx

∫f(x) - ∫g(x)

4
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completing the square

(Ax²+Bx+(B/2)²) - ((B/2)²+C)

5
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for integrals involving an expression in the form √a²-u², where a is a positive constant and u is a function of x….

u=asin(θ), then express everything in terms of θ

6
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reduction formulas

cos²x= (1+cos(2x))/2

and

sin²x= (1-cos(2x))/2

7
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integral of two functions being multiplied

use formula: uv-∫vdu

where we can easily obtain du