Question:medium

Evaluate
\[ \int e^{x^2} (2x + x^3) (3 + x^2)^2 \, dx \]

Show Hint

Look for quotient-rule reverse patterns in integrals.
Updated On: Mar 23, 2026
  • \(\dfrac{e^{x^2}}{3+x^2}+k\)
  • \(\dfrac{1}{2}\dfrac{e^{x^2}}{(3+x^2)^2}+k\)
  • \(\dfrac{1}{4}\dfrac{e^{x^2}}{(3+x^2)^2}+k\)
  • \( \frac{1}{2} \, d \left( e^{x^2} (3 + x^2 + k) \right) \)
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The Correct Option is D

Solution and Explanation

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