# How can I evaluate the integral #intx^2e^(4x)dx#?

Where you have: I would use integration by parts.

Where:

I'll decide on:

When you integrate, you obtain:

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To evaluate the integral ∫x^2e^(4x)dx, you can use integration by parts. Let u = x^2 and dv = e^(4x)dx. Then, differentiate u to find du and integrate dv to find v. After that, apply the integration by parts formula:

∫u dv = uv - ∫v du

Once you've calculated the values of u, dv, du, and v, substitute them into the formula and evaluate the integral.

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