Ex 7.2, 17 - Class 12

Last updated at May 29, 2018 by Teachoo

Ex 7.2, 17 - Integrate x / ex2 - Chapter 7 Class 12 - Integration by substitution - e^x

Transcript

Ex 7.2, 17 Integrate the function: 𝑥/𝑒^(𝑥^2 ) Step 1: Let 𝑥2 = 𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 2𝑥^(2 − 1)= 𝑑𝑡/𝑑𝑥 2𝑥=𝑑𝑡/𝑑𝑥 " " 𝑑𝑥 = 𝑑𝑡/2𝑥 Step 2: Integrating the function ∫1▒〖" " 𝑥/𝑒^(𝑥^2 ) " " 〗. 𝑑𝑥 putting 𝑥^2=𝑡 & 𝑑𝑥=𝑑𝑡/2𝑥 = ∫1▒𝑥/𝑒^𝑡 . 𝑑𝑡/2𝑥 = 1/2 ∫1▒𝑑𝑡/𝑒^𝑡 = 1/2 ∫1▒𝑒^(−𝑡) . 𝑑𝑡 = 1/2 𝑒^(−𝑡)/((−1) ) +𝐶 = −1/(2𝑒^𝑡 ) +𝐶 = −𝟏/(𝟐𝒆^(𝒙^𝟐 ) ) +𝑪

Ex 7.2

Ex 7.2, 17 You are here

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Chapter 7 Class 12 Integrals

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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.