Question

Which procedure is recommended when an identity can simplify a complicated trigonometric expression?

Options

• Avoid simplifying the integrand because identities change the integral.

• Integrate complicated trigonometric expressions directly before using an identity.

• Do not integrate complicated trigonometric expressions directly if an identity can simplify them first.

• Use an identity only after adding the constant of integration.

Answer 1

A suitable identity should be applied before integration whenever it simplifies the expression. This converts the integrand into terms that can be integrated more easily.