SUBJECT:MATHEMATICS LEVEL: 4 TOPIC 2: FUNCTIONS AND ALGEBRA

INTEGRAL OF TRIGONOMETRIC FUNCTIONS After completing this topic, you will be able to: • Find the indefinite integral of different trigonometric functions TSC-0-06-6992-2020-R00 MATHEMATICS LEVEL 4 2020-06-30 DPA/mlm Page 2

INTEGRAL OF TRIGONOMETRIC FUNCTIONS. • Lets find the integral of the form 𝑡𝑗𝑜 𝑙𝑦 𝑒𝑦 = −𝑑𝑝𝑡𝑙𝑦 + 𝑑 find 1) 𝑡𝑗𝑜6𝑦 𝑒𝑦 • = −𝑑𝑝𝑡6𝑦 + 𝑑 6 2) 3𝑡𝑗𝑜4𝑦 𝑒𝑦 • = 3 𝑡𝑗𝑜4𝑦 𝑒𝑦 • = −3𝑑𝑝𝑡4𝑦 + 𝑑 4 TSC-0-06-6992-2020-R00 MATHEMATICS LEVEL 4 2020-06-30 DPA/mlm Page 3

INTEGRAL OF TRIGONOMETRIC FUNCTIONS. • Lets find the integral of the form 𝑑𝑝𝑡 𝑙𝑦 𝑒𝑦 = 𝑡𝑗𝑜𝑙𝑦 + 𝑑 • Find 𝑑𝑝𝑡2𝑦 𝑒𝑦 • = 𝑡𝑗𝑜2𝑦 + 𝑑 2 • 3𝑑𝑝𝑡3𝑦 𝑒𝑦 • = 𝑑𝑝𝑡3𝑦 + 𝑑 TSC-0-06-6992-2020-R00 MATHEMATICS LEVEL 4 2020-06-30 DPA/mlm Page 4

ACTIVITY • FIND a) 3cosx + 2sin2x dx b) 2sin3x − 4cos2x dx c) (4sinx + 2cosx)dx TSC-0-06-6992-2020-R00 MATHEMATICS LEVEL 4 2020-06-30 DPA/mlm Page 5

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