Evaluate the integral. ? 3x e^-3x dx ? 3x e^-3x dx = [ ] (Use C as the arbitrary constant.)
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We can use integration by parts: Let u = 3x and dv/dx = e^x, then du/dx = 3 and v = e^x. Using the formula for integration by parts, we have: ∫3x e^x dx = 3x e^x - ∫3 e^x dx = 3x e^x - 3 e^x + C1, where C1 is the arbitrary constant of integration. Show more…
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