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CBSE Class 12 Math 2009 Solved Paper

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Question : 3
Total: 29
If
1
∫
0
(3x2+2x+k) dx = 0 , find the value of k.
Solution:  
Given:
1
∫
0
(3x2+2x+k) dx =
⇒ [
3x3
3
+
2x2
2
+kx]01 = 0
⇒ [x3+x2+kx]01 = 0
⇒ [1 + 1 + k] = 0
⇒ k = - 2
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