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Mathematical Expression Editor
We will compute indefinite Integrals
Indefinite Integral where and is an arbitrary constant.
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.
Minor modifications
In many applications, the independent variable is multiplied by a constant, . We list
the effects of such a modification on indefinite integrals.