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Question

Induction
Hi! I'm not sure whether you would have covered integration yet, but if you have I have this question which I'm stuck on.

Calculate the following intergal: INT sin(3x)cos(7x)dx

I have attached my next question as it might be clearer.

Thank you very much for your help. :)

Answer
Sorry for the lateness, cuz I was busy about my graduation ceremony:)

I believe these two questions are homework questions...I will not answer them directly but I'll give you some hint.

For the induction question, do a simplest induction, you are surely able to do it.

For the integration, use product-to-sum identity to separate the two trigonometrical functions, then the integration of them will be much easier.

Just to remind you that I will be here if you have more problems. Add a follow-up if you're not satisfied with this answer.

Regards,
Chen

Chen Min

Expertise

All the conceptual questions, pure math & basic stats alike I am good at answering your algebra (including logarithm, functions, trigonometry) and geometry questions. I can also provide to you a firm understanding into basic calculus and other mathematical ideas and concepts. You can either ask questions in English or Chinese. Physics Qns that require rigorous math are also welcomed Important:Please avoid asking me questions related to economics.After all, I am only a secondary school student

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A lot of participation in Math Olympiad Competition with numerous awards (Not always gold, though) CMO Gold, SMO Silver, SPhO Gold

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