GATE 2023 CS – Question 31
The value of the definite integral $\int_{-3}^{3}\int_{-2}^{2}\int_{-1}^{1}\left(4x^2y - z^3\right)dz\,dy\,dx$ is ______. (Rounded off to the nearest integer)
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Correct answer: 0
Explanation
The z-integral gives 8x²y, since ∫z³ dz over [−1,1] is 0. Integrating y over the symmetric interval [−2,2] gives 0, so the value is 0.