Evaluate the integral using integration by parts. $$\int 6x^5 e^x dx$$ $$\int 6x^5 e^x dx = \boxed{}$$
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The formula for integration by parts is $\int u dv = uv - \int v du$. Let $u = 6x^5$ and $dv = e^x dx$. Then $du = 30x^4 dx$ and $v = e^x$. Applying integration by parts, we have $$\int 6x^5 e^x dx = 6x^5 e^x - \int 30x^4 e^x dx$$ Show more…
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