Chapter 7 Class 12 Integrals
Concept wise

Ex 7.8, 4 - Chapter 7 Class 12 Integrals

Last updated at April 16, 2024 by

Slide6.JPG

Slide7.JPG

Go Ad-free

Transcript

Ex 7.8, 4 ∫_0^(πœ‹/4)β–’sin⁑2π‘₯𝑑π‘₯ Let F(π‘₯)=∫1▒〖𝑠𝑖𝑛 2π‘₯ 𝑑π‘₯γ€— =1/2 (βˆ’π‘π‘œπ‘  2π‘₯) =(βˆ’1)/( 2) π‘π‘œπ‘  2π‘₯ Hence, F(π‘₯)=(βˆ’1)/( 2) π‘π‘œπ‘  2π‘₯ Now, ∫_0^(πœ‹/4)▒〖𝑠𝑖𝑛2π‘₯ 𝑑π‘₯γ€—=𝐹(πœ‹/4)βˆ’πΉ(0) =(βˆ’1)/( 2) π‘π‘œπ‘ (2 Γ— πœ‹/4)βˆ’((βˆ’1)/( 2) π‘π‘œπ‘ (2 Γ—0)) =(βˆ’1)/( 2) π‘π‘œπ‘  πœ‹/2+1/2 π‘π‘œπ‘  0 =(βˆ’1)/( 2) Γ—0+1/2 Γ—1 = 𝟏/𝟐

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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo