The Integral

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Remember, antiderivatives are an integral part of calculus.
Integrals find the area under a region of a function, and are prespresneted by a large S, for summation.
The integral of a function can be approximated using left or right or midpoint Riemann sums.
The antiderivative is the inverse of the derivative as well. this can be demonstrated by S(f’x”dx=F(x)+C. The C value is the constant, as differentiating removes the constant from the equation. The antiderivative gives you a bag of functions. You need an initial condition to fidn the function. The rules for finding the antiderivative are in a later section.
The basic expression for the integral can be defined using limits,

Integrals find the area under a region of a function, and are prespresneted by a large S, for summation.

The integral of a function can be approximated using left or right or midpoint Riemann sums.

The antiderivative is the inverse of the derivative as well. this can be demonstrated by S(f’x”dx=F(x)+C. The C value is the constant, as differentiating removes the constant from the equation. The antiderivative gives you a bag of functions. You need an initial condition to fidn the function. The rules for finding the antiderivative are in a later section.

The basic expression for the integral can be defined using limits,

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