The Calculus Primer (2011)

Tables

INTEGRALS

A. Standard Elementary Forms

[1] dx = x + C

[2] a dv = a dv

[3] (du + dv − dw) = du + dv − dw

[7a] e^v dv = e^v + C

[8] sin v dv = − cos v + C

[9] cos v dv = sin v + C

[10] sec² v dv = tan v + C

[11] csc² v dv = − cot v + C

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

[13] csc v cot v dv = − csc v + C

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

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

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

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

B.Forms Containing (a + bx)

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

D.Forms Containing

E.Forms Containing

F.Forms Containing

G.Forms Containing

H.Forms Containing Trigonometric Functions

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

I.Forms Containing Exponential and Logarithmic Functions

VALUES OF e^x AND e^−x

VALUES OF e^x FROM x = 0 TO x = 5.9

VALUES OF e^−x FROM x = 0 TO x = 5.9

COMMON LOGARITHMS