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Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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


Transcript

Question 19 Find ∫1 xe(1 + x2) dx. ∫1 xe(1 + x2) dx. Let t = 1 + x2 dt = 2x dx 𝑑𝑑/2 = x dx Putting value of t and dt in equation ∫ π‘₯𝑒^((1 + π‘₯^2)) 𝑑π‘₯ = ∫1 𝑒^𝑑 𝑑𝑑/2 = 1/2 ∫1 𝑒^𝑑 𝑑𝑑 = 1/2 𝑒^𝑑+𝐢 Putting back t = (1 + x2) = 𝟏/𝟐 𝒆^((𝟏 + 𝒙^𝟐))+π‘ͺ

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.