The value of \( ∈t -2 \ \ 2 (ax 5 + bx 3 + c)\ dx\) depends on the value of:

\[ ∈t -2 2 ( a x 5 + b x 3 + c ) \, dx = ( a x 6 6 + b x 4 4 + c x ) -2 2 \] \[ = 4c \] Therefore, the answer depends upon the value of \( c \).

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Question 28

Mathematics Definite Integrals Hard

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

(A) b

(B) c

(C) a

(D) a and b

✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

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

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