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 August 14, 2026 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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Transcript

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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