Evaluate each integral. 1. ? xe^2x dx 2. ? (2x + 3) sin x dx 3. ? x^3 ln x dx 4. ? e^3x cos 4x dx 5. ? arcsin(x/2) dx
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Evaluate $\int xe^{2x} dx$ We can use integration by parts for this integral. Let $u = x$ and $dv = e^{2x} dx$. Then, $du = dx$ and $v = \frac{1}{2}e^{2x}$. Using integration by parts formula, we get: $\int xe^{2x} dx = uv - \int v du = Show more…
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