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Question: Answered & Verified by Expert
The value of $\int_{-2012}^{2012}\left(\sin \left(x^{3}\right)+x^{5}+1\right) d x$ is $-$
MathematicsDefinite IntegrationKVPYKVPY 2012 (SB/SX)
Options:
  • A 2012
  • B 2013
  • C 4024
  • D 4042
Solution:
2515 Upvotes Verified Answer
The correct answer is: 4024
$\int_{-2012}^{2012}\left(\sin \left(x^{3}\right)+x^{5}+1\right) d x=\int_{-2012}^{2012}\left(\sin \left(x^{3}\right) d x+\int_{-2012}^{2012} x^{5} d x+\int_{-2012}^{2012} d x=4024\right.$

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