Question 28

Mathematics Definite Integrals Hard

The value of <span class="math-tex">\(\rm \int_{-2}^{\ \ 2}(ax^5 + bx^3 + c)\ dx\)</span>&nbsp;depends on the value of:

(A) b
(B) c
(C) a
(D) a and b
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

\[ \int_{-2}^2 \left( a x^5 + b x^3 + c \right) \, dx = \left( \frac{{a x^6}}{6} + \frac{{b x^4}}{4} + c x \right)_{-2}^2 \] \[ = 4c \] Therefore, the answer depends upon the value of \( c \).