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

CBSE Class 12 Math 2009 Solved Paper - Question 3

Question : 3 of 29

Marks: +1, -0

∫↖{1}↙{0}(3x^2+2x+k)

dx = 0 , find the value of k.

Solution:

Given:

∫↖{1}↙{0}(3x^2+2x+k)

dx =
⇒

[{3x^3}/3+{2x^2}/2+kx]^1_0

= 0
⇒

[x^3+x^2+kx]^1_0

= 0
⇒ [1 + 1 + k] = 0
⇒ k = - 2

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