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education/math/MATH1210 (calc 1)/Integrals.md
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@ -8,7 +8,11 @@ $$ \int f(x) dx $$
## Examples ## Examples
> Find the antiderivative of the function $y = x^2$ > Find the antiderivative of the function $y = x^2$
1. We know that $f'(x) = 2x^1$ 1. We know that to find the derivative of the above function, you'd multiply by the exponent ($2$), and subtract 1 from the exponent.
2. To perform this operation in reverse:
1. Add 1 to the exponent
2. Multiply by $\dfrac{1}{n + 1}$
3. This gives us an antiderivative of$\dfrac{1}{3}x^3$
## Formulas ## Formulas