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Q.

To find the numerical value of $\int_{- 2}^{2} (p x^{3} + q x + s) d x$ it is necessary
to know the values of the constants:

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a

$p$

b

$q$

c

$p a n d s$

d

$s$

answer is C.

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Detailed Solution

$\int_{- 2}^{2} (p x^{3} + q x + s) d x$

$= p \int_{- 2}^{2} x^{3} d x + q \int_{- 2}^{2} x d x + \int_{- 2}^{2} s d x = p \times 0 + q \times 0 + 4 s = 4 s$

Hence, we should now the value of $s$ .

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To find the numerical value of ∫−22 px3+qx+sdx it is necessary to know the values of the constants: