Use the table of integrals to find the given integral.

Name: Use the table of integrals to find the given integral.
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Question

Quizplus · Accepted Answer

According to the table of integrals, the integral of x^2*e^(kx)dx is (1/k^3)*x^2*e^(kx) - (2/k^3)*x*e^(kx) + (2/k^3)*e^(kx) + C. Thus, the given integral can be written as (1/2)^3*x^2*e^(2x) - (2/2^3)*x*e^(2x) + (2/2^3)*e^(2x) + C = (1/8)*x^2*e^(2x) - (1/4)*x*e^(2x) + (1/4)*e^(2x) + C. Therefore, the answer is D.

Use the Table of Integrals to Find the Given Integral