# Indefinite integrals

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If f is the derivative of F, then F is an antiderivative of f. We also call F the "indefinite integral" of f. In other words, indefinite integrals and antiderivatives are, essentially, reverse derivatives. Why differentiate in reverse? Good question! Keep going and you'll find out!
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### Antiderivatives

If f' is the derivative of f, then f is the antiderivative of f'. To find the antiderivative of a function we need to perform some kind of reverse differentiation. Learn about it here.

### Indefinite integrals intro

Indefinite integrals are the way integral calculus deals with antiderivatives. Gain some practice in finding various indefinite integrals.

### Indefinite integrals of common functions

Indefinite integrals (or antiderivatives) are really just backward differentiation. Therefore, the indefinite integral of eˣ is eˣ+c, the indefinite integral of 1/x is ln(x)+c, the indefinite integral of sin(x) is -cos(x)+c, and the indefinite integral of cos(x) is sin(x)+c.

### Review: Indefinite integrals & antiderivatives

Review your understanding of indefinite integrals and antiderivatives with some challenge problems.