Integration
Indefinite Integrals
For calculating integrals of ordinary polynomials of x to a power use the following basic formula:
=
Where c is an unknown constant without a variable attached to it.
If you check by taking the derivative of
you will see that you are left with
. This can be thought of in two steps.
- Increase the exponent by 1
- Divide by the new exponent
For example
1.1
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1.2
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1.3
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1.4
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1.5
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1.6
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Integrals of trigonometric functions work the exact opposite of derivatives. The derivative of
so the integral of
.
For example:
1.7
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1.8
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1.9
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1.10
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1.11
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