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Mathematical Expression Editor

We will compute indefinite Integrals

Indefinite Integral where and is an arbitrary constant.

1 Basic Indefinite Integrals

We now present a list of basic indefinite integrals. In this context, the word basic
means that the formula shown comes directly from its corresponding differentiation
formula.

1.

Constant functions: where is any constant.

2.

Power functions ():

3.

Power functions ():

4.

Trigonometric functions:

a.

b.

c.

d.

e.

f.

5.

Natural exponential function:

6.

General exponential function: where .

7.

Inverse trigonometric functions:

a.

b.

2 Minor modifications

In many applications, the independent variable is multiplied by a constant, . We list
the effects of such a modification on indefinite integrals.