# How do you evaluate the integral of #int 3x^5 e^x dx#?

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To evaluate the integral ∫ 3x^5 e^x dx, you can use integration by parts method. Let u = 3x^5 and dv = e^x dx. Then, differentiate u to find du and integrate dv to find v. Finally, apply the integration by parts formula:

∫ u dv = uv - ∫ v du

Substitute the values of u, v, du, and dv into the formula and solve the integral.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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