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 š‘‘š‘”/2 = x dx Putting value of t and dt in equation ∫ š‘„š‘’^((1 + š‘„^2)) š‘‘š‘„ = ∫1 š‘’^š‘” š‘‘š‘”/2 = 1/2 ∫1 š‘’^š‘” š‘‘š‘” = 1/2 š‘’^š‘”+š¶ Putting back t = (1 + x2) = šŸ/šŸ š’†^((šŸ + š’™^šŸ))+š‘Ŗ

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