Indefinite Integral of 5*(sin(6x)/sin(3x)) - Help Needed

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SUMMARY

The discussion focuses on solving the integral of 5*(sin(6x)/sin(3x))dx. The user expresses difficulty in applying trigonometric identities, specifically the double angle formula for sine, to simplify the expression. The suggestion to utilize Wikipedia for reference indicates that external resources can aid in understanding the necessary identities for solving this integral. Ultimately, the discussion emphasizes the importance of mastering trigonometric identities in calculus.

PREREQUISITES
  • Understanding of integral calculus
  • Familiarity with trigonometric identities, particularly the double angle formula
  • Basic knowledge of sine functions and their properties
  • Experience with simplifying trigonometric expressions
NEXT STEPS
  • Study the double angle formula for sine and its applications in integration
  • Practice solving integrals involving trigonometric functions
  • Explore resources on trigonometric identities and their proofs
  • Learn techniques for simplifying complex fractions in integrals
USEFUL FOR

Students studying calculus, particularly those working on integrals involving trigonometric functions, and anyone seeking to strengthen their understanding of trigonometric identities.

RedBarchetta
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Homework Statement


The integral of 5*(sin(6x)/sin(3x))dx

The Attempt at a Solution



I'm not quite sure what to do with this one. I moved 5 to the left of the integral, but then I'm lost. Apparently I'm rusty on these trig identities.

Could anyone help me get started? Thank you.
 
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Look up the double angle formula for sine, wikipedia is good. You should be able to simplify with the bottom some then.
 

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