Evaluate ( \int x e^2x , dx )
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Let ( u = x, dv = e^2xdx ) ( du = dx, v = \frac12e^2x ) Formula: ( \int u,dv = uv - \int v,du ) ( \int x e^2xdx = \fracx2e^2x - \int \frac12e^2xdx ) ( = \fracx2e^2x - \frac14e^2x + C ) Final answer: ( \frace^2x4(2x - 1) + C ) Final Verdict | Approach | Safe? | Legal? | Recommended | |----------|-------|--------|--------------| | "REPACK" PDF download | ❌ No | ❌ No | ❌ Never | | Buy official Asin reviewer | ✅ Yes | ✅ Yes | ✅ Best if you want that specific book | | Free legal alternatives (Paul’s, OpenStax, Khan Academy) | ✅ Yes | ✅ Yes | ✅ Highly recommended |