Evaluate the integral: \int (x 3)e^(5x)dx Evaluate the integral: $$\int (x+3)e^{5x} dx$$
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The formula for integration by parts is: $$\int u dv = uv - \int v du$$ Let $u = x+3$ and $dv = e^{5x} dx$. Then, we have: $$du = dx$$ $$v = \int e^{5x} dx = \frac{1}{5}e^{5x}$$ Show more…
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