Evaluate \(\int^2_1(x^2 - 4x)dx\)
A
\(\frac{11}{3}\)
B
\(\frac{3}{11}\)
C
\(-\frac{3}{11}\)
D
\(-\frac{11}{3}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\int^2_1(x^2 - 4x)dx\)
\((\frac{x^3}{3} - \frac{4x^2}{2})\)
substituting integrate values
\([\frac{8}{3} - \frac{4 \times 4}{2}] - [\frac{1}{2} - 2]\)
= \(-\frac{11}{3}\)
Source: Myschool Past Questions Archive (Record #27342)