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10 cards from this deck
It measures the area under a curve between two points.
It simplifies complex integrals by changing variables.
Evaluate the antiderivative at the limits and subtract.
The sign of the integral changes.
Use sin²(x) = (1 - cos(2x))/2.
Convert x limits to u limits using the substitution.
The integral changes sign, becoming negative.
It equals arcsin(x) + C after substitution.
They are crucial for calculating areas and volumes.
Evaluate to find the area under the curve.
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