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integral of trigonometric functions after completing this

INTEGRAL OF TRIGONOMETRIC FUNCTIONS After completing this topic, you - PowerPoint PPT Presentation

Oct 08, 2022 β€’17 likes β€’67 views

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

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

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

  3. INTEGRAL OF TRIGONOMETRIC FUNCTIONS. β€’ Lets find the integral of the form π‘‘π‘—π‘œ 𝑙𝑦 𝑒𝑦 = βˆ’π‘‘π‘π‘‘π‘™π‘¦ + 𝑑 find 1) π‘‘π‘—π‘œ6𝑦 𝑒𝑦 β€’ = βˆ’π‘‘π‘π‘‘6𝑦 + 𝑑 6 2) 3π‘‘π‘—π‘œ4𝑦 𝑒𝑦 β€’ = 3 π‘‘π‘—π‘œ4𝑦 𝑒𝑦 β€’ = βˆ’3𝑑𝑝𝑑4𝑦 + 𝑑 4 TSC-0-06-6992-2020-R00 MATHEMATICS LEVEL 4 2020-06-30 DPA/mlm Page 3

  4. INTEGRAL OF TRIGONOMETRIC FUNCTIONS. β€’ Lets find the integral of the form 𝑑𝑝𝑑 𝑙𝑦 𝑒𝑦 = π‘‘π‘—π‘œπ‘™π‘¦ + 𝑑 β€’ Find 𝑑𝑝𝑑2𝑦 𝑒𝑦 β€’ = π‘‘π‘—π‘œ2𝑦 + 𝑑 2 β€’ 3𝑑𝑝𝑑3𝑦 𝑒𝑦 β€’ = 𝑑𝑝𝑑3𝑦 + 𝑑 TSC-0-06-6992-2020-R00 MATHEMATICS LEVEL 4 2020-06-30 DPA/mlm Page 4

  5. ACTIVITY β€’ FIND a) 3cosx + 2sin2x dx b) 2sin3x βˆ’ 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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