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The value of the definite integral \(\displaystyle \int_{-3}^{3}\int_{-2}^{2}\int_{-1}^{1}\big(4x^{2}y - z^{3}\big)\,dz\,dy\,dx\) is ________. (Rounded off to the nearest integer)
The value of the definite integral \(\displaystyle \int_{-3}^{3}\int_{-2}^{2}\int_{-1}^{1}\big(4x^{2}y - z^{3}\big)\,dz\,dy\,dx\) is ________. (Rounded off to the nearest integer)
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Before grinding through multivariable integrals, check for odd/even symmetry over symmetric limits. Odd parts vanish immediately, saving time.
Updated On: Jan 31, 2026
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