Example 3 - Class 12
Last updated at May 29, 2018 by Teachoo
Transcript
Example 3 Find the following integrals: • sinx+ cosx dx sin𝑥+ cos𝑥 𝑑𝑥 = sin𝑥𝑑𝑥+ (cos𝑥) 𝑑𝑥 =− 𝐜𝐨𝐬𝒙+ 𝐬𝐢𝐧𝒙+𝑪 Example 3 Find the following integrals: (ii) 𝑐𝑜𝑠𝑒𝑐 𝑥 𝑐𝑜𝑠𝑒𝑐 𝑥+ cot𝑥𝑑𝑥 𝑐𝑜𝑠𝑒𝑐 𝑥 𝑐𝑜𝑠𝑒𝑐 𝑥+ cot𝑥𝑑𝑥 = 𝑐𝑜𝑠𝑒𝑐 𝑥+𝑐𝑜𝑠𝑒𝑐 𝑥 cot𝑥𝑑𝑥 = 𝑐𝑜𝑠𝑒 𝑐2 𝑥 𝑑𝑥+ 𝑐𝑜𝑠𝑒𝑐 𝑥 cot𝑥𝑑𝑥 = − 𝐜𝐨𝐭𝒙 −𝒄𝒐𝒔𝒆𝒄 𝒙+𝑪 Example 3 Find the following integrals: (iii) 1 − sin𝑥 cos2𝑥 𝑑𝑥 1 − sin𝑥 cos2𝑥 𝑑𝑥 = 1 cos2𝑥 − sin𝑥 cos2𝑥𝑑𝑥 = sec2𝑥− sin𝑥 𝑐𝑜𝑠𝑥 . 1 𝑐𝑜𝑠𝑥 𝑑𝑥 = sec2𝑥− tan𝑥 sec𝑥𝑑𝑥 = 𝒕𝒂𝒏𝒙− 𝒔𝒆𝒄𝒙+𝑪
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Example 25 (Supplementary NCERT)
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.
