Check sibling questions
Chapter 7 Class 12 Integrals
Concept wise

Slide5.JPG

Slide6.JPG

This video is only available for Teachoo black users

Solve all your doubts with Teachoo Black (new monthly pack available now!)


Transcript

Ex 7.3, 1 Find the integral of sin2 (2π‘₯ + 5) ∫1β–’γ€–π’”π’Šπ’πŸ (πŸπ’™ + πŸ“) γ€— 𝒅𝒙 =∫1β–’(1 βˆ’ γ€–π‘π‘œπ‘  2〗⁑(2π‘₯ + 5))/2 𝑑π‘₯ =1/2 ∫1β–’γ€–1βˆ’cos⁑(4π‘₯+10) γ€— 𝑑π‘₯ =1/2 [∫1β–’1 𝑑π‘₯βˆ’βˆ«1β–’cos⁑(4π‘₯+10) 𝑑π‘₯] We know that 𝐜𝐨𝐬 𝟐𝜽=πŸβˆ’πŸ γ€–π’”π’Šπ’γ€—^𝟐⁑𝜽 2 sin^2 πœƒ=1βˆ’cos⁑2πœƒ sin^2 πœƒ=1/2 [1βˆ’cos⁑2πœƒ ] Replace πœƒ by (𝟐𝐱+πŸ“) sin^2 (2π‘₯+5)=(1 βˆ’ cos⁑2(2π‘₯ + 5))/2 As ∫1β–’cos⁑(π‘Žπ‘₯+𝑏) 𝑑π‘₯=sin⁑(π‘Žπ‘₯ + 𝑏)/π‘Ž+𝐢 =1/2 [π‘₯βˆ’ sin⁑(4π‘₯ + 10)/4 +𝐢] =𝒙/𝟐 βˆ’ 𝟏/πŸ– π’”π’Šπ’β‘(πŸ’π’™+𝟏𝟎)+π‘ͺ

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.