Calculus Derivatives and Integrals

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10 Terms

1
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(d/dx) bx

bxln|b|

2
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(d/dx) logbx

1/(xlnb)

3
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∫tanxdx

ln|secx|+C OR -ln|cosx|+C

4
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∫cotxdx

ln|sinx|+C

5
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∫secxdx

ln|secx + tanx|+C

6
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∫cscxdx

-ln|cscx+cotx|+C

7
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∫bxdx

(bx)/(ln|b|)+C

8
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∫1/(a2+x2)dx

(1/a)tan⁻1(x/a)+C

9
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(d/dx)sec-1(x)

1/(|x|√(x2-1))

10
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(d/dx)csc-1(x)

-1/(|x|√(x2-1))