Tables - The Calculus Primer

The Calculus Primer (2011)

Tables

INTEGRALS

A. Standard Elementary Forms

[1] images dx = x + C

[2] images a dv = a images dv

[3] images (du + dvdw) = images du + images dvimages dw

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[7a] images ev dv = ev + C

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[8] images sin v dv = − cos v + C

[9] images cos v dv = sin v + C

[10] images sec2 v dv = tan v + C

[11] images csc2 v dv = − cot v + C

[12] images sec v tan v dv = sec v + C

[13] images csc v cot v dv = − csc v + C

[14] images tan v dv = log sec v + C = − log cos v + C

[15] images cot v dv = log sin v + C

[16] images sec v dv = log (sec v + tan v) + C

[17] images csc v dv = log (csc v − cot v) + C

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B.Forms Containing (a + bx)

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C.Forms Containing (a2 + x2), (a2x2), (a + bx2)

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D.Forms Containing

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E.Forms Containing

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F.Forms Containing

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G.Forms Containing

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H.Forms Containing Trigonometric Functions

(See also formulas [8] to [17])

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I.Forms Containing Exponential and Logarithmic Functions

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VALUES OF ex AND e−x

VALUES OF ex FROM x = 0 TO x = 5.9

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VALUES OF e−x FROM x = 0 TO x = 5.9

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COMMON LOGARITHMS

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