If \int^{1}_{0}(3x^2+2x+k) dx = 0 , find the value of k.

CBSE Class 12 Math 2009 Solved Paper

Question : 3 of 29

Marks: +1, -0

∫

(3x2+2x+k) dx = 0 , find the value of k.

Solution:

Given:

∫

(3x2+2x+k) dx =
⇒ [

3x3

2x2

+kx]01 = 0
⇒ [x3+x2+kx]01 = 0
⇒ [1 + 1 + k] = 0
⇒ k = - 2

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