Question

The value of the integration $\underset{-4}{\overset{4}{\int }}\left(a{x}^3+bx+c\right)dx$ depends on

• A. a and b
• B. a, b and c
• C. only c
• D. c and b

Answer 1

Answer: (C)

$\underset{-4}{\overset{4}{\int }}\left(a{x}^3+bx+c\right)dx=\underset{-4}{\overset{4}{\int }}\left(a{x}^3+bx\right)dx+\underset{-4}{\overset{4}{\int }}cdx$
$=0+2c\underset{0}{\overset{4}{\int }}dx=8c$