Ex 7.8, 7 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by

Slide11.JPG

Slide12.JPG

Share on WhatsApp

Transcript

Ex 7.8, 7 ∫_0^(πœ‹/4)β–’γ€–π‘‘π‘Žπ‘› π‘₯〗⁑𝑑π‘₯ Step 1 :- F(π‘₯)=∫1β–’γ€–tan⁑π‘₯ 𝑑π‘₯γ€— =π‘™π‘œπ‘”|𝑠𝑒𝑐 π‘₯| Hence F(π‘₯)=π‘™π‘œπ‘”|𝑠𝑒𝑐 π‘₯| Step 2 :- ∫_0^(πœ‹/4)β–’tan⁑〖π‘₯ 𝑑π‘₯=𝐹(πœ‹/4)βˆ’πΉ(0)γ€— =π‘™π‘œπ‘”|𝑠𝑒𝑐 (πœ‹/4)|βˆ’π‘™π‘œπ‘”|𝑠𝑒𝑐(0)| =π‘™π‘œπ‘”|√2|βˆ’π‘™π‘œπ‘”|1| =log⁑√2βˆ’0 =log⁑√2 = log⁑〖2^(1/2) γ€— =𝟏/𝟐 π’π’π’ˆβ‘πŸ

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