Integration (calculus)
By DarthVader
Date: 2022-09-04
Topic: 160 see comments
Post views: 1007
Integration
- Integration is the opposite of differentiation.
- If you have a function for the rate of change with respect to time, then you can integrate that function in order to get the amount of change with respect to time.
- If you take the derivative of a function you can use integration to go back again to the original function.
To integrate a function, you add 1 to the power and then multiply by 1 over the new power:
(1/n)xn+1
If there is a coefficient a in front of the variable then multiply it:
(1/n)axn+1
Indefinite integrals and antiderivatives
An antiderivative of f is any specific function whose derivative is f.
The indefinite integral of f is the antiderivative of f with an arbitrary constant c added at the end.
Indefinite integral of a power function:
f(t) = 1.15 is F(t) = 1.15t + c
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