Question 19 - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 16, 2024 by Teachoo

Find ∫xe ^{(1 + x^2)} dx.

Find Integral ∫ x e^(1 + x^2) dx.- Teachoo - CBSE Class 12 Sample Pap

Question 19 - CBSE Class 12 Sample Paper for 2020 Boards - Part 2

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Question 19 Find ∫1 xe(1 + x2) dx. ∫1 xe(1 + x2) dx. Let t = 1 + x2 dt = 2x dx 𝑑𝑡/2 = x dx Putting value of t and dt in equation ∫ 𝑥𝑒^((1 + 𝑥^2)) 𝑑𝑥 = ∫1 𝑒^𝑡 𝑑𝑡/2 = 1/2 ∫1 𝑒^𝑡 𝑑𝑡 = 1/2 𝑒^𝑡+𝐶 Putting back t = (1 + x2) = 𝟏/𝟐 𝒆^((𝟏 + 𝒙^𝟐))+𝑪

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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

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