Evaluate the integral. given,
A) -65
B) -2377
C) -66
D) -2024
E) -2025

Name: Evaluate the integral. given, A) -65 B) -2377 C) -66 D) -2024 E) -2025
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Question

Evaluate the integral.  given, 
A) -65 
B) -2377 
C) -66 
D) -2024 
E) -2025

Quizplus · Accepted Answer

We can use substitution, letting u = x^2 + 3. Then du/dx = 2x and dx = du/2x. 
Thus, 
∫[0,1] (x/(x^2 + 3)^2) dx 
= ∫[3,4] (1/u^2) (du/2) 
= -(1/2u)|[3,4] 
= -(1/2)(1/4 - 1/9) 
= -25/72 
which is closest to -2024 (choice D).

Evaluate the Integral. Given