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Antiderivatives and indefinite integrals review

Review your knowledge of antiderivatives and indefinite integrals.

What are antiderivatives and indefinite integrals?

Antiderivative is the reverse relation of derivative. For example, we know that the derivative of x2 is 2x. This means that an antiderivative of 2x is x2.
f is the derivative of f f is an antiderivative of f
Each function has a family of antiderivatives. For example, the antiderivatives of 2x are the family of functions x2+c where c can be any constant number.
The indefinite integral of a function can be viewed as exactly that, the family of antiderivatives of the function. It also has a special notation. For example, the indefinite integral of 2x is expressed as 2xdx.
In general, f(x)dx=f(x)+c.
Want to learn more about antiderivatives and indefinite integrals? Check out this video.

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