calc 2 test 1 formulas

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Last updated 3:02 PM on 6/20/26
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10 Terms

1
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riemann sum inside

f(ck) * delta x

2
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ck

a + k * delta x

3
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definition of integral

riemann sum with limit n —> inf

4
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sum(k)

(n(n+1))/2

5
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sum(k²)

(n(n+1)(2n+1))/6

6
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sum(k³)

(n²(n+1)²)/4

7
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integral of 1/(a²+u²)

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

8
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integral of 1/sqrt(a²-u²)

arcsin(u/a) + C

9
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integral of 1/(u(sqrt(u²-a²))

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

10
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integral of u * dv

uv - integral(v * du)