SUMMARY
The anti-derivative of the function -5.4sin(3t) is 1.8cos(3t) + C. To solve this, one must factor out -5.4 from the integral and use the substitution u = 3t, leading to the integral of sin(u). The integration process requires careful attention to the differential, resulting in the final expression after substituting back for u.
PREREQUISITES
- Understanding of basic calculus concepts, specifically integration.
- Familiarity with trigonometric functions and their derivatives.
- Knowledge of substitution methods in integration.
- Ability to manipulate constants in integrals.
NEXT STEPS
- Study integration techniques, focusing on substitution methods.
- Review the properties and derivatives of trigonometric functions.
- Practice solving integrals involving sine and cosine functions.
- Explore advanced integration topics, such as integration by parts.
USEFUL FOR
Students studying calculus, particularly those focusing on integration techniques, and anyone looking to strengthen their understanding of anti-derivatives involving trigonometric functions.