vault backup: 2025-09-03 12:25:04
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@ -21,4 +21,6 @@ $$\int xe^{2x}dx$$
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- $u = x$
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- $u = x$
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- $du = \frac{d}{dx}(x)= 1dx$
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- $du = \frac{d}{dx}(x)= 1dx$
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- $dv = e^{2x}dx$
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- $dv = e^{2x}dx$
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- $v = \frac{1}{2}e^{2x}$ - The antiderivative of $dv$.
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- $v = \frac{1}{2}e^{2x}$ - The antiderivative of $dv$.
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2. Looking back at the integration by parts formula, we know that:
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$$ \int udv = uv - \int v du $$
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