Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.

Question

Evaluate the definite integral of the algebraic function.  Use a graphing utility to verify your results.

Quizplus · Accepted Answer

Using integration by parts, we have:
∫x^4*ln(x)dx = 1/5*x^5*ln(x) - ∫x^4*dx/5
= 1/5*x^5*ln(x) - x^5/25 + C
Using a graphing utility, we can graph the integrand, then use the calculator's integral function to evaluate the definite integral from 1 to 2. We obtain approximately 0.0876, which corresponds to choice A.

Evaluate the Definite Integral of the Algebraic Function