Ex 7.2, 39 (MCQ) - Chapter 7 Class 12 Integrals

Last updated at December 16, 2024 by

Ex 7.2, 39 - Integration dx / sin^2 x cos^2 x equals (A) tan x + cot

Ex 7.2, 39 - Chapter 7 Class 12 Integrals - Part 2

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 5 questions, selected from your answers, mistakes, and progress.
Remove Ads Share on WhatsApp

Transcript

Ex 7.2, 39 โˆซ1โ–’๐‘‘๐‘ฅ/(๐‘ ๐‘–๐‘›2 ๐‘ฅ ๐‘๐‘œ๐‘ 2 ๐‘ฅ) equals tan x + cot x + C (B) tan x โ€“ cot x + C (C) tan x cot x + C (D) tan x โ€“ cot 2x + C โˆซ1โ–’ใ€–" " ๐‘‘๐‘ฅ/(sin^2 ๐‘ฅ cos^2โก๐‘ฅ )ใ€— = โˆซ1โ–’ใ€–" " ๐Ÿ/(sin^2 ๐‘ฅ cos^2โก๐‘ฅ ) . ๐‘‘๐‘ฅใ€— = โˆซ1โ–’ใ€–" " (ใ€–๐ฌ๐ข๐งใ€—^๐Ÿ ๐’™ +ใ€– ใ€–๐œ๐จ๐ฌใ€—^๐Ÿใ€—โก๐’™)/(sin^2 ๐‘ฅ cos^2โก๐‘ฅ ) . ๐‘‘๐‘ฅใ€— = โˆซ1โ–’ใ€–" " (sin^2 ๐‘ฅ)/(sin^2 ๐‘ฅ cos^2โก๐‘ฅ ) . ๐‘‘๐‘ฅใ€— + โˆซ1โ–’ใ€–" " ใ€– cos^2ใ€—โก๐‘ฅ/(sin^2 ๐‘ฅ cos^2โก๐‘ฅ ) . ๐‘‘๐‘ฅใ€— = โˆซ1โ–’ใ€–" " 1/cos^2โก๐‘ฅ . ๐‘‘๐‘ฅใ€— + โˆซ1โ–’ใ€–1/(sin^2 ๐‘ฅ) . ๐‘‘๐‘ฅใ€— (Using sin^2โก๐‘ฅ+cos^2โก๐‘ฅ=1) = โˆซ1โ–’ใ€–sec^2โก๐‘ฅ. ๐‘‘๐‘ฅใ€— + โˆซ1โ–’ใ€–๐‘๐‘œ๐‘ ๐‘’๐‘^2 ๐‘ฅ . ๐‘‘๐‘ฅใ€— = ๐’•๐’‚๐’โก๐’™โˆ’๐’„๐’๐’•โก๐’™+๐‘ช โˆด Option B is correct. Using โˆซ1โ–’ใ€–ใ€–๐‘ ๐‘’๐‘ใ€—^2โก๐‘ฅ. ๐‘‘๐‘ฅใ€—=๐‘ก๐‘Ž๐‘›โก๐‘ฅ and โˆซ1โ–’ใ€–๐‘๐‘œ๐‘ ๐‘’๐‘^2 ๐‘ฅ . ๐‘‘๐‘ฅใ€—=โˆ’๐‘๐‘œ๐‘กโก๐‘ฅ

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