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Combination

If ∫01 3x2+...

Question

If $\int_{0}^{1} (3 x^{2} + 2 x + k) d x = 0$ , find $k$ .

A

- 2

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B

4

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C

- 8

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D

16

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Solution

The correct option is A $- 2$
$\int_{0}^{1} (3 x^{2} + 2 x + k) d x = 0$

$[x^{3} + x^{2} + k x]_{0}^{1} = 0$

$(1 + 1 + k) - 0 = 0$

$k = - 2$

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