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

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

TSC-0-06-6992-2020-R00 MATHEMATICS LEVEL 4 2020-06-30 DPA/mlm Page 2

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 3

INTEGRAL OF TRIGONOMETRIC FUNCTIONS.

• Lets find the integral of the form 𝑡𝑗𝑜 𝑙𝑦 𝑒𝑦 = −𝑑𝑝𝑡𝑙𝑦 + 𝑑

find

1) 𝑡𝑗𝑜6𝑦 𝑒𝑦

• =

−𝑑𝑝𝑡6𝑦 6

+ 𝑑

2) 3𝑡𝑗𝑜4𝑦 𝑒𝑦

• = 3 𝑡𝑗𝑜4𝑦 𝑒𝑦
• =

−3𝑑𝑝𝑡4𝑦 4

+ 𝑑

TSC-0-06-6992-2020-R00 MATHEMATICS LEVEL 4 2020-06-30 DPA/mlm Page 4

INTEGRAL OF TRIGONOMETRIC FUNCTIONS.

• Lets find the integral of the form 𝑑𝑝𝑡 𝑙𝑦 𝑒𝑦 = 𝑡𝑗𝑜𝑙𝑦 + 𝑑
• Find 𝑑𝑝𝑡2𝑦 𝑒𝑦
• =

𝑡𝑗𝑜2𝑦 2

+ 𝑑

• 3𝑑𝑝𝑡3𝑦 𝑒𝑦
• = 𝑑𝑝𝑡3𝑦 + 𝑑

TSC-0-06-6992-2020-R00 MATHEMATICS LEVEL 4 2020-06-30 DPA/mlm Page 5

ACTIVITY

• FIND

a) 3cosx + 2sin2x dx b) 2sin3x − 4cos2x dx c) (4sinx + 2cosx)dx