Calculus 6.9 Integration with U-Substitution

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What is u-substitution in integration?

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U-substitution is a method used to simplify the integration process by substituting a part of the integrand with a new variable 'u', making the integral easier to solve.

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When should you use u-substitution?

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Use u-substitution when the integrand contains a function and its derivative, allowing for a simpler integral after substitution.

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What is the first step in u-substitution?

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Identify a part of the integrand to substitute with 'u', typically a function whose derivative is also present in the integrand.

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How do you change the limits of integration when using u-substitution?

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Change the limits of integration to correspond to the new variable 'u' by substituting the original limits into the equation for 'u'.

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What is the purpose of changing variables in integration?

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Changing variables simplifies the integral, making it easier to evaluate.

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