2

Indefinite Integrals of Elementary Functions

2.0 Introduction

2.00 General remarks

We omit the constant of integration in all the formulas of this chapter. Therefore, the equality sign (=) means that the functions on the left and right of this symbol differ by a constant. For example (see integral 2.01 15), we write

dx1+x2=arctanx=arccotx

si1_e

although

arctan x =  arccot x ± π2

si2_e

When we integrate certain functions, we obtain the logarithm of the absolute value (for example dx1 + x2 = ln | x + 1 + x2|). In such formulas, the absolute-value ...

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