Integration by Substitution (USub)

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What is Integration by Substitution?

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Integration by Substitution is a method used to evaluate integrals by changing the variable of integration to simplify the integral. It involves choosing a substitution variable (u) that simplifies the integrand.

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What is the purpose of choosing 'u' in Integration by Substitution?

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Choosing 'u' helps to simplify the integral, making it easier to evaluate. It often transforms a complicated integral into a simpler one.

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How do you determine the substitution variable 'u'?

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The substitution variable 'u' is typically chosen as a function within the integrand that, when differentiated, appears elsewhere in the integrand.

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What is the relationship between definite and indefinite integrals?

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Definite integrals compute the area under a curve between two points, while indefinite integrals represent a family of functions and include a constant of integration (C).

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What is the substitution method used for integrals involving trigonometric functions?

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