# How do i do the anti-derivative?

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#dx/dy# sin(x/2)

Assuming the question is

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To find the antiderivative (indefinite integral) of a function, you can use integration techniques such as:

**Power rule:**For functions in the form (ax^n), where (a) and (n) are constants.**Integration by parts:**Used for products of functions.**Trigonometric integrals:**Integrating functions involving trigonometric functions like sine, cosine, tangent, etc.**Substitution method:**Substituting a variable with another to simplify integration.**Partial fractions:**Decomposing rational functions into simpler fractions.**Trigonometric substitution:**Used for integrals involving radicals and trigonometric functions.**Integration of rational functions:**Involves dividing the polynomial of the numerator by that of the denominator.**Improper integrals:**Integrals with one or both bounds being infinite or integrals involving discontinuous functions.

Remember, the antiderivative is not unique as it includes an arbitrary constant of integration, typically denoted as (C).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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