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The application of Jacobians is significant in the evaluation of double integral of the form ∬f(x,y) dx dy and triple integral of the form ∭f(x,y,z)dx dy dz by transformation from one system of coordinate to the other.

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The application of Jacobians is significant in the evaluation of double integral of the form ∬f(x,y) dx dy and triple integral of the form ∭f(x,y,z)dx dy dz  by transformation from one system of coordinate to the other.

(a) True

(b) False

I had been asked this question in an interview for internship.

My doubt is from Jacobians topic in section Partial Differentiation of Engineering Mathematics

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The correct option is (a) True

Easiest explanation: The principle of evaluation is analogous with the evaluation of ∫f(x)dx by taking a suitable substitution.

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