Answer the following integrals.

MATHEMATICS · Multi-part · CBSE · Mathematics · Integrals · Integrals

Problem

Answer the following integrals. (i) Evaluate ∫xex dx\displaystyle\int x e^{x}\,dx. (ii) Hence, determine ∫(xex+ex) dx\displaystyle\int \bigl(x e^{x}+e^{x}\bigr)\,dx, writing your final answer in factorised form.

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