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10 cards from this deck
A method to simplify integrals by changing variables.
It inspires the method of integration by substitution.
Choose a substitution u = g(x).
Differentiate u = g(x) to get du.
∫ f(g(x))g'(x) dx = ∫ f(u) du.
Forgetting to adjust the differential dx.
Select u as the most complex function to simplify integration.
Replacing u with g(x) after solving the integral.
Evaluate ∫ x √(x² + 1) dx using substitution.
∫ e^(3x)/√(e^(6x) + 1) dx using u = e^(3x).
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