Question

3. Luca and Maria are debating about how to evaluate the integral

\int(\tan (x))^{3}(\sec (x))^{4} d x

Evaluate the validity of both methods. Explain why each method is or is not valid for evaluating the integral (tan (x))³ (sec (x))^4 dx. If neither method is valid, then describe an appropriate method for evaluating the integral (tan (x))³(sec (x))^4 dx.

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